因式分解x^4-5x^3+6x^2+5x-10
问题描述:
因式分解x^4-5x^3+6x^2+5x-10
答
x^4-5x^3+6x^2+5x-10
=x²(x²-5x+6)+5(x-2)
=x²(x-2)(x-3)+5(x-2)
=(x-2)(x³-3x²+5)