Toán Lớp 7: Cho đa thức:
f(x)=$x^{10}$ -101$x^{9}$ +101$x^{8}$ -101$x^{7}$ +…..-101x+101
Tính f(100)
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Toán Lớp 7: Cho đa thức:
f(x)=$x^{10}$ -101$x^{9}$ +101$x^{8}$ -101$x^{7}$ +…..-101x+101
Tính f(100)
Comments ( 2 )
f(100)->x=100
->x+1=101
f(x)=x^{10}-101x^9+…-101x+101
=x^{10}-(x+1)x^9+…-(x+1)x+101
=x^{10}-x^{10}-x^9 + … – x^2-x+101
=-x+101
->f(100)=-100+101=1
Vậy f(100)=1
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