1. (x3 – 3x2 + x – 3) : (x – 3) 2. (2x4 – 5x2 + x3 – 3 – 3x) : (x2 – 3) 3. (x – y – z)5 : (x – y – z)3 4. (x2 + 2x + x2 – 4) : (x + 2) 5. (2x3 + 5x2 – 2x + 3) : (2x2 – x + 1) 6. (2x3 – 5x2 + 6x – 15) : (2x – 5)
Thực hiện phép chia:
1. (-3x3 + 5x2 - 9x + 15) : ( 3x + 5)
2. ( 5x4 + 9x3 - 2x2 - 4x - 8) : ( x-1)
3. ( 5x3 + 14x2 + 12x + 8 ) : (x + 2)
4. ( x4 - 2x3 + 2x -1 ) : ( x2 - 1)
5. ( 5x2 - 3x3 + 15 - 9x ) : ( 5 - 3x)
6. ( -x2 + 6x3 - 26x + 21) : ( 3 -2x )
Tính:
1. ( x - 2 ) ( 3x + 1 )
2. ( 8x4y3 - 12x3y3 + 6x3y4 )
3. ( 3x3y2 + 6x2y3 - 12xy4 ) : 3xy
4. ( 3x3y2 + 6x2y3 - 12xy4 ) : 4xy
5. ( 2x3 - 5x2 + 7x - 6 ) : ( 2x - 3 )
6. ( x4 - x3 + 3x2 + x + 2 ) : ( x2 - 1 )
1,(2x + 3 ) 2
2, ( 3x + 2y )2
3,(3a -1 )2
4, (a - 2 )2
5, ( 1 - 5a ) 2
6, ( x - 4 ) 3
7,( x2 - 2y )2
8, ( 5x2 - 2 ) ( 5x2 + 2 )
9, (2a2 - 7 )(2a2 + 7 )
10, ( x - 1 )(x2 + x +1 )
11,( x3 - 2 ) (x6 + 2x3 +4 )
12, ( 3x + 2 ) (9x2 - 6x + 4)
13, ( x2 + 3 ) (x4-3x2+9)
Phân tích các đa thức sau thành nhân tử:
1) x3 - 7x + 6
2) x3 - 9x2 + 6x + 16
3) x3 - 6x2 - x + 30
4) 2x3 - x2 + 5x + 3
5) 27x3 - 27x2 + 18x - 4
6) x2 + 2xy + y2 - x - y - 12
7) (x + 2)(x +3)(x + 4)(x + 5) - 24
8) 4x4 - 32x2 + 1
9) 3(x4 + x2 + 1) - (x2 + x + 1)2
10) 64x4 + y4
11) a6 + a4 + a2b2 + b4 - b6
12) x3 + 3xy + y3 - 1
13) 4x4 + 4x3 + 5x2 + 2x + 1
14) x8 + x + 1
15) x8 + 3x4 + 4
16) 3x2 + 22xy + 11x + 37y + 7y2 +10
17) x4 - 8x + 63
Thực hiện phép chia:
a) ( x 3 - 2 x 2 - 15x + 36) : (x + 4);
b) ( 2 x 4 + 2 x 3 + 3 x 2 - 5x - 20) : ( x 2 + x + 4);
c) (2 x 3 + 11 x 2 + 18x-3) : (2x + 3);
d) (2x3 + 9x2 +5x + 41) : (2x2 - x + 9).
Bài toán 3 : Thực hiện phép chia.
a) (2x3 – 5x2 – x + 1) : (2x + 1)
b) (x3 – 2x + 4) : (x + 2)
c) (6x3 – 19x2 + 23x – 12) : (2x – 3)
d) (x4 – 2x3 – 1 + 2x) : (x2 – 1)
Thực hiện phép tính:
a)(4x4y-7x2y+3y).(2y-3x2y)
b)(x2+3x-\(\dfrac{3}{2}\)x3):(2x)-\(\dfrac{x}{2}\).(1-\(\dfrac{3}{2}\)x)
c)(-2x3-x-3+5x2):(3-2x)
Thực hiện phép chia:
a) ( 2 x 3 + 5 x 2 - 2x + 3) : (2 x 2 - x +1);
b) ( x 5 + x 3 + x 2 +1) : ( x 3 +1).
