Question

Determine whether x-1 or x+1 is a factor of x^100-4x^99+3 还有

Answer 1

（1）Sub x=-1,

(-1)^100-4(-1)^99+3=1+4+3=8 (不等于0)

Thus,(x+1) is a not factor of x^100-4x^99+3

Sub x=1

1^100-4(1)^99+3=1-4+3=0

Thus,(x-1) is a factor of x^100-4x^99+3

(2)数轴上与x轴的交点分别为（-2,0）(-1,0) (0,0) (1,0)

用曲线连接所有的点构成一个图像,大致是一个“M”的形状.