因式分解X^11-2X^10+X^9 算出来给我

问题描述:

因式分解X^11-2X^10+X^9 算出来给我

x^9(x-1)^2

原式=x^9(x-1)^2

=X^9(X^2-2X+1)
=X^9(X-1)(X-1)

=x^9(x²-2x+1)
=x^9(x-1)²
令它等于0,可得x=0或x=± 1