x³ -5x²+3x+1因式分解
问题描述:
x³ -5x²+3x+1因式分解
x³ -5x²+3x+1
答
x³ -5x²+3x+1
=x^3-4x^2+3x-x^2+1
=x(x^2-4x+3)-(x^2-1)
=x(x-1)(x-3)-(x-1)(x+1)
=(x-1)(x^2-4x-1)