因式分解x^3+2x^2-5x-6

2024-12-22 15:17:42
推荐回答(2个)
回答1:

x^3+2x^2-5x-6=x^3+x^2+x²-5x-6
=x²﹙x+1﹚+﹙x+1﹚﹙x-6﹚
=﹙x+1﹚﹙x²+x-6﹚
=﹙x+1﹚﹙x+3﹚﹙x-2﹚

回答2:

x³+2x²-5x-6
=x³-2x²+4x²-8x+3x-6
=x²(x-2)+4x(x-2)+3(x-2)
=(x²+4x+3)(x-2)
=(x+1)(x+3)(x-2)