2x^3+x^2-6x-3因式分解

2025-02-24 20:39:02
推荐回答(5个)
回答1:

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

回答2:

2x^3+x^2-6x-3
=x^2×(2x+1)-3×(2x+1)
=(2x+1)(x^2-3)
=(2x+1)(x-√3)(x+√3)

回答3:

原式=x^2(2x+1)-3(2x+1)=(2x+1)(x^2-3)

回答4:

2x4-x3-6x2-x+2
=x^2(2x^2-x-6)-(x-2)
=x^2(2x+3)(x-2)-(x-2)
=(x-2)[x^2(2x+3)-1]
=(x-2)(2x^3+3x^2-1)
=(x-2)[(2x^3+2x^2)+(x^2-1)]
=(x-2)[2x^2(x+1)+(x+1)(x-1)]
=(x-2)(x+1)(2x^2+x-1)
=(x-2)(x+1)(2x-1)(x+1)
=(x+1)^2(x-2)(2x-1)

回答5:

{x^2-3}*{2x+1}