x^2(1-x)+(x+3)(x^2-3x+9) rút gọn

Đọc đoạn trích và trả lời câu hỏi:
(1) Lòng dũng cảm là một tài sản vô giá mà tự nó đã tiềm ẩn sức mạnh vô
hình có thể giúp con người sống một cuôc đời đích thực. Với lòng dũng cảm bạn
sẽ tự tạo ra cơ hội cho bản thân và đủ bản lĩnh để đối mặt với những trở ngại
cuộc sống. Tất cả chúng ta sinh ra đều có lòng dũng cảm. Nhưng chỉ có những
ai biết tôi rèn và vận dụng nó thường xuyên thì mới có thể sở hữu lòng dũng
cảm thực sự.
(2) Hãy vận dụng lòng dũng cảm để củng cố sức mạnh tinh thần của bạn.
Hãy tìm cho mình một hướng đi thích hợp và sống một cuộc đời ý nghĩa. Hãy
thử những công việc mới và phá bỏ các rào cản trong cuộc sống của bạn. Với
lòng dũng cảm bạn sẽ vững vàng tiến về phía trước.
(Đánh thức khát vọng, NXB Hồng Đức, 2018)
1, Theo đoạn trích, lòng dũng cảm đưa đến con người ta những gì?
2, Từ “tôi rèn” trong câu cuối của đoạn (1) nghĩa là gì?
3, Xét theo mục đích nói, ba câu đầu của đoạn (2) được xếp vào kiểu câu nào?
4, Theo em “dũng cảm” khác với “liều lĩnh” ở chỗ nào?
5, Lòng dũng cảm là một trong những yếu tố tạo nên thành công của con người.
Hãy viết một đoạn văn khoảng một trang giấy thi trình bày suy nghĩ của mình về
vấn đề trên.

a) x2(x - 5) + 5 - x = 0; b) 3x4 - 9x3 = -9x2 + 27x;

c) x2(x + 8) + x2 = -8x; d) (x + 3)(x2 -3x + 5) = x2 + 3x.

e) 3x(x - 1) + x - 1 = 0;

f) (x - 2)(x2 + 2x + 7) + 2(x2 - 4) - 5(x - 2) = 0;

g) (2x - 1)2 - 25 = 0;

h) x3 + 27 + (x + 3)(x - 9) = 0.

i)8x3 - 50x = 0; k) 2(x + 3)-x2 - 3x = 0;

m)6x2 - 15x - (2x - 5)(2x + 5) =

x4 -2x3 -4x2 + 4x-3 phân tichs đa thức thành nhân tử

1. Our Chinese teacher will never forgive me for getting her name wrong that time, won’t he?

A. Chinese teacher               B. me                                        C. her name                              D. won’t he

2. There are lots of wonderful places to see on the south coast, aren’t they?

A. lots of                             B. to see                                   C. south coast                           D. aren’t they

3. Your father has forgiven your younger brother for breaking the window, didn’t he?

A. has forgiven                    B. younger                                C. for                                        D. didn’t he

4. Your father is taking the car to the garage to have it serviced this afternoon, doesn’t he?

A. is                                    B. to                                         C. serviced                                D. doesn’t he

5. The council is encouraging the development of the property for both employment and recreation, doesn’t it?

A. encouraging                     B. of                                         C. for                                        D. doesn’t it

6. She is always chasing cats out of the garden to protect her precious birds, won’t she?

A. always chasing                B. out of                                   C. protect                                  D. won’t she

7. They produce a self-adhesive plastic cover designed to protect CDs from scratches, doesn’t it?

A. self-adhesive                   B. cover                                                C. protect                                  D. doesn’t it

8. He recommended a local company that repairs computers, doesn’t he?

A. a                                    B. that                                       C. computers                             D. doesn’t he

9. The car was damaged to such an extent that it couldn't be repaired, couldn’t it?

A. damaged                         B. such                                      C. it                                          D. couldn’t it

10. She will be able to live nearer her parents if she gets the job, will she?

A. be able to                       B. nearer                                   C. gets                                      D. will she

11. He moved to London where he built up a successful career in journalism, wasn’t he?

A. to London                        B. built up                                 C. in                                          D. wasn’t he

12. You don't happen to know if the last bus has already passed here, has it?

A. happen                           B. last bus                                 C. already                                 D. has it

13. Ms. Mary mightn’t have thought that her parents would give her such a wonderful birthday gift, wouldn’t they?

A. have                               B. her                                       C. such                                      D. wouldn’t they

14. They have always encouraged you in everything you have wanted to do, don’t they?

A. have always                    B. in                                          C. you                                       D. don’t they

chữa lỗi sai và gt

1. My friend said that he had been going to have an important interview the following day.

A. My friend                         B. had been going                      C. important                              D. day

2. It was not until the end of prehistoric times that the first wheeled vehicles appearing.

A. not until the end              B. prehistoric                             C. the first                                 D. appearing

3. His family has lived in the countryside for 3 years and then they moved to the city.

A. has lived                         B. for                                        C. and                                       D. to

4. I’d like to see him in my office the moment he will arrive.

A. to see                             B. in                                          C. office                                    D. will arrive

5. Even though I liked singing, I can say that I have a terrible voice.

A. Even                               B. liked                                     C. that                                       D. a     

6. He never goes home before he will finish his work.

A. never                              B. goes home                           C. will finish                             D. work

7. Everybody will be at the office at about 08:30 tomorrow as the meeting started at nine o'clock.

A. at                                   B. as                                         C. started                                  D. o'clock

8. We are going to visit our grandparents when we will finish our final exams.

A. are going to                    B. our                                       C. when                                                D. will

9. There was complete silence in the room when she has finished her description of her trip to Africa.

A. complete silence              B. room                                     C. has finished                           D. to

10. Peter had to postpone any college plans he may have had when his father would die suddenly in a plane crash.

A. postpone                         B. college plans                         C. have had                               D. would die

11. Mary hurts herself while she was playing hide-and-seek with her brothers.

A. hurts                               B. she                                       C. hide-and-seek                        D. her

12. The children are flying their kites in the field when it started to rain heavily.

A. are flying                        B. in                                          C. field                                      D. heavily

13. When Mary is little, her mother used to tell her a bedtime story every night.

A. is                                    B. her mother                            C. bedtime                                 D. every

14. Mary and Tom take great photos of wild elephants while they were walking along the river.

A. take                                B. wild elephants                       C. they                                      D. along the river

15. I was staying with my aunt when I am on holiday in Paris next month.

A. was staying                     B. my aunt                                C. on holiday                             D. Paris

16. My mother won't let me go out with my friends until I had finished my homework

A. My mother                       B. go out                                   C. had finished                           D. my

17. Our company will send you an email of confirmation as soon as we had made our final decision

A. send                               B. confirmation                          C. had made                              D. final

18. He went back to work in his country after he has finished his course on Advanced Engineering in London.

A. back                               B. his                                        C. has finished                           D. Engineering

19. Hurry up, or they had stopped serving meals by the time we get to the restaurant.

A. or                                   B. had stopped                          C. meals                                    D. to

CẤU TRÚC LIÊN QUAN TỚI THỜI THÌ

20. I wish all the children in the world don't have to live in poverty any more.

A. all the children                 B. the                                        C. don't have to                         D. in

21. I wish I have his mobile phone number; we could tell him the good news.

A. have                               B. number                                 C. tell                                        D. good news

22. The children wish that they have more free time to play football.

A. The children                   B. have                                     C. more                                    D. to play

23. If only I have a cell phone! I am tired of queuing outside the public phone box.

A. have                               B. of                                         C. outside                                  D. phone box

24. He looks as though he never gets a square meal, but in fact his wife feeds him very well.

A. though                            B. gets                                     C. in fact                                   D. well

25. Mary talks as if she does all the work herself, but in fact John and I did most of it.

A. Mary                               B. does                                     C. herself                                  D. of

26. I would rather they do something about it instead of just talking about it.

A. do                                   B. about                                    C. of                                         D. about

27. I’d rather you will come to the English-speaking club with me this Sunday.

A. will come                        B. English-speaking                    C. with                                      D. Sunday

28. I have supported you all through university. Now it’s time you begin to support yourself.

A. supported                        B. all through                             C. begin                                    D. support

29. It's about time that the school is improving its food service.

A. about                              B. that                                       C. is improving                           D. food

30. It is high time the government has displayed a more humanitarian approach towards victims of the recession.

A. high                                B. has displayed                        C. humanitarian                         D. recession

CHUYÊN ĐỀ CÂU HỎI ĐUÔI - 2

31. She is attending a three-day conference on AIDS education, doesn’t she?

A. attending                                    B. three-day                              C. on                                         D. doesn’t

32. Mr. Smith is going to buy a new Japanese car, doesn’t he?

A. Mr. Smith                        B. to buy                                 C. new Japanese                        D. doesn’t he

33. Mrs. Mary is going to buy a new black German car, aren’t they?

A. Mr. Smith                        B. to buy                                 C. new black German                 D. aren’t they   

34. The ninth-form students are preparing to take their final examination, aren’t you?

A. ninth-form                       B. are                                       C. their final                              D. aren’t you

35. Our Chinese teacher will never forgive me for getting her name wrong that time, won’t he?

A. Chinese teacher               B. me                                        C. her name                              D. won’t he

36. There are lots of wonderful places to see on the south coast, aren’t they?

A. lots of                             B. to see                                   C. south coast                           D. aren’t they

37. Your father has forgiven your younger brother for breaking the window, didn’t he?

A. has forgiven                    B. younger                                C. for                                        D. didn’t he

38. Your father is taking the car to the garage to have it serviced this afternoon, doesn’t he?

A. is                                    B. to                                         C. serviced                                D. doesn’t he

39. The council is encouraging the development of the property for both employment and recreation, doesn’t it?

A. encouraging                     B. of                                         C. for                                        D. doesn’t it

40. She is always chasing cats out of the garden to protect her precious birds, won’t she?

A. always chasing                B. out of                                   C. protect                                  D. won’t she

41. They produce a self-adhesive plastic cover designed to protect CDs from scratches, doesn’t it?

A. self-adhesive                   B. cover                                                C. protect                                  D. doesn’t it

42. He recommended a local company that repairs computers, doesn’t he?

A. a                                    B. that                                       C. computers                             D. doesn’t he

43. The car was damaged to such an extent that it couldn't be repaired, couldn’t it?

A. damaged                         B. such                                      C. it                                          D. couldn’t it

44. She will be able to live nearer her parents if she gets the job, will she?

A. be able to                       B. nearer                                   C. gets                                      D. will she

45. He moved to London where he built up a successful career in journalism, wasn’t he?

A. to London                        B. built up                                 C. in                                          D. wasn’t he

46. You don't happen to know if the last bus has already passed here, has it?

A. happen                           B. last bus                                 C. already                                 D. has it

47. Ms. Mary mightn’t have thought that her parents would give her such a wonderful birthday gift, wouldn’t they?

A. have                               B. her                                       C. such                                      D. wouldn’t they

48. They have always encouraged you in everything you have wanted to do, don’t they?

A. have always                    B. in                                          C. you                                       D. don’t they

Chữa lỗi sai và giải thích
1. My friend said that he had been going to have an important interview the following day.

A. My friend                         B. had been going                      C. important                              D. day

2. It was not until the end of prehistoric times that the first wheeled vehicles appearing.

A. not until the end              B. prehistoric                             C. the first                                 D. appearing

3. His family has lived in the countryside for 3 years and then they moved to the city.

A. has lived                         B. for                                        C. and                                       D. to

4. I’d like to see him in my office the moment he will arrive.

A. to see                             B. in                                          C. office                                    D. will arrive

5. Even though I liked singing, I can say that I have a terrible voice.

A. Even                               B. liked                                     C. that                                       D. a     

6. He never goes home before he will finish his work.

A. never                              B. goes home                           C. will finish                             D. work

7. Everybody will be at the office at about 08:30 tomorrow as the meeting started at nine o'clock.

A. at                                   B. as                                         C. started                                  D. o'clock

8. We are going to visit our grandparents when we will finish our final exams.

A. are going to                    B. our                                       C. when                                                D. will

9. There was complete silence in the room when she has finished her description of her trip to Africa.

A. complete silence              B. room                                     C. has finished                           D. to

10. Peter had to postpone any college plans he may have had when his father would die suddenly in a plane crash.

A. postpone                         B. college plans                         C. have had                               D. would die

11. Mary hurts herself while she was playing hide-and-seek with her brothers.

A. hurts                               B. she                                       C. hide-and-seek                        D. her

12. The children are flying their kites in the field when it started to rain heavily.

A. are flying                        B. in                                          C. field                                      D. heavily

13. When Mary is little, her mother used to tell her a bedtime story every night.

A. is                                    B. her mother                            C. bedtime                                 D. every

14. Mary and Tom take great photos of wild elephants while they were walking along the river.

A. take                                B. wild elephants                       C. they                                      D. along the river

15. I was staying with my aunt when I am on holiday in Paris next month.

A. was staying                     B. my aunt                                C. on holiday                             D. Paris

16. My mother won't let me go out with my friends until I had finished my homework

A. My mother                       B. go out                                   C. had finished                           D. my

17. Our company will send you an email of confirmation as soon as we had made our final decision

A. send                               B. confirmation                          C. had made                              D. final

18. He went back to work in his country after he has finished his course on Advanced Engineering in London.

A. back                               B. his                                        C. has finished                           D. Engineering

19. Hurry up, or they had stopped serving meals by the time we get to the restaurant.

A. or                                   B. had stopped                          C. meals                                    D. to

CẤU TRÚC LIÊN QUAN TỚI THỜI THÌ

20. I wish all the children in the world don't have to live in poverty any more.

A. all the children                 B. the                                        C. don't have to                         D. in

21. I wish I have his mobile phone number; we could tell him the good news.

A. have                               B. number                                 C. tell                                        D. good news

22. The children wish that they have more free time to play football.

A. The children                   B. have                                     C. more                                    D. to play

23. If only I have a cell phone! I am tired of queuing outside the public phone box.

A. have                               B. of                                         C. outside                                  D. phone box

24. He looks as though he never gets a square meal, but in fact his wife feeds him very well.

A. though                            B. gets                                     C. in fact                                   D. well

25. Mary talks as if she does all the work herself, but in fact John and I did most of it.

A. Mary                               B. does                                     C. herself                                  D. of

26. I would rather they do something about it instead of just talking about it.

A. do                                   B. about                                    C. of                                         D. about

27. I’d rather you will come to the English-speaking club with me this Sunday.

A. will come                        B. English-speaking                    C. with                                      D. Sunday

28. I have supported you all through university. Now it’s time you begin to support yourself.

A. supported                        B. all through                             C. begin                                    D. support

29. It's about time that the school is improving its food service.

A. about                              B. that                                       C. is improving                           D. food

30. It is high time the government has displayed a more humanitarian approach towards victims of the recession.

A. high                                B. has displayed                        C. humanitarian                         D. recession

CHUYÊN ĐỀ CÂU HỎI ĐUÔI - 2

31. She is attending a three-day conference on AIDS education, doesn’t she?

A. attending                                    B. three-day                              C. on                                         D. doesn’t

32. Mr. Smith is going to buy a new Japanese car, doesn’t he?

A. Mr. Smith                        B. to buy                                 C. new Japanese                        D. doesn’t he

33. Mrs. Mary is going to buy a new black German car, aren’t they?

A. Mr. Smith                        B. to buy                                 C. new black German                 D. aren’t they   

34. The ninth-form students are preparing to take their final examination, aren’t you?

A. ninth-form                       B. are                                       C. their final                              D. aren’t you

35. Our Chinese teacher will never forgive me for getting her name wrong that time, won’t he?

A. Chinese teacher               B. me                                        C. her name                              D. won’t he

36. There are lots of wonderful places to see on the south coast, aren’t they?

A. lots of                             B. to see                                   C. south coast                           D. aren’t they

37. Your father has forgiven your younger brother for breaking the window, didn’t he?

A. has forgiven                    B. younger                                C. for                                        D. didn’t he

38. Your father is taking the car to the garage to have it serviced this afternoon, doesn’t he?

A. is                                    B. to                                         C. serviced                                D. doesn’t he

39. The council is encouraging the development of the property for both employment and recreation, doesn’t it?

A. encouraging                     B. of                                         C. for                                        D. doesn’t it

40. She is always chasing cats out of the garden to protect her precious birds, won’t she?

A. always chasing                B. out of                                   C. protect                                  D. won’t she

41. They produce a self-adhesive plastic cover designed to protect CDs from scratches, doesn’t it?

A. self-adhesive                   B. cover                                                C. protect                                  D. doesn’t it

42. He recommended a local company that repairs computers, doesn’t he?

A. a                                    B. that                                       C. computers                             D. doesn’t he

43. The car was damaged to such an extent that it couldn't be repaired, couldn’t it?

A. damaged                         B. such                                      C. it                                          D. couldn’t it

44. She will be able to live nearer her parents if she gets the job, will she?

A. be able to                       B. nearer                                   C. gets                                      D. will she

45. He moved to London where he built up a successful career in journalism, wasn’t he?

A. to London                        B. built up                                 C. in                                          D. wasn’t he

46. You don't happen to know if the last bus has already passed here, has it?

A. happen                           B. last bus                                 C. already                                 D. has it

47. Ms. Mary mightn’t have thought that her parents would give her such a wonderful birthday gift, wouldn’t they?

A. have                               B. her                                       C. such                                      D. wouldn’t they

48. They have always encouraged you in everything you have wanted to do, don’t they?

A. have always                    B. in                                          C. you                                       D. don’t they