Question

Cho f(x)=x^8-101x^7+101x^6-101x^5+...+101x^2-101x+25

     Tính f(100)

Answer 1

f(100)=> x=100

=>x+1=101

thay x+1=101 ta được:

f(100)=x⁸-(x+1)x⁷+(x+1)x⁶-(x+1)x⁵+...+(x+1)x²-(x+1)x+25

=x⁸-(x⁸+x⁷)+(x⁷+x⁶)-(x⁶+x⁵)+...+(x³+x²)-(x²+x)+25

=x⁸-x⁸-x⁷+x⁷+x⁶-x⁶-x⁵+...+x³+x²-x²-x+25

=-x+25

=-100+25

=-75

Answer 2

-75 nha

Answer 3

Trả lời siêu quá

Answer 4

f(x)=x^8-101x^7+101x^6-101x^5+...+101x^2-101x+25

     =(x^8-107x^7)+(-x^7+100x^6)+(x^6-100x^5)+...+(x^2-100x)+(-x+25)

Thay f(100) ta được:                                                  

     f(100) = (100^8- 100.100^7)+(-100^7+100.100^6)+...+(100^2-100.100)+(-100+25)

              =-100+25

              =-75