x^4+5x^2-6因式分解帮忙·············小女子先谢拉

问题描述:

x^4+5x^2-6因式分解
帮忙·············小女子先谢拉

(X^2+5)(X+1)(X-1)

(x-1)(x+1)(x^2+6)

x^4+5x^2-6
=(x^2+6)(x^2-1) 十字相乘
=(x^2+6)(x+1)(x-1)
在复数域内还可将x^2+6分解
=(x+根号6*i)(x-根号6*i)(x+1)(x-1)

x^4+5x^2-6
=(x^2+6)(x+1)(x-1)

x^4+5x^2-6
= (x^2 +6)(x^2 -1)
=(x^2 +6)(x +1)(x -1)