因式分解x⁴-x³-3x²+x+2

问题描述:

因式分解x⁴-x³-3x²+x+2

=x^3 (x-1) + (x-1)(-3x-2)
= (x-1)(x^3 - 3x - 2)
= (x-1)(x-1)(x^2 +x +2)