Question

求求助一道高中数学题！感激不尽

Factorize the quintic polynomial P(x) = x^5 + 2x^4 − x − 2 into a product
of irreducible linear and quadratic factors. What are the roots of P?

求助求助QAQ答案步骤，明天需要用到。谢谢了！

Answer 1

分解5次多项式P(X)到最简二次多项式。求P的根。
P(x)=x^4(x+2)-(x+2)=(x+2)(x^4-1)=(x+2)(X^2+1)(X^2-1)=(X+2)(X^2+1)(X+1)(X-1)
The factor is (X+2)(X^2+1)(X+1)(X-1)。
The root of p(x) is x1=-2,x2=i,x3=-i,x4=-1,x5=1。

追问

http://zhidao.baidu.com/question/535345133?quesup2&oldq=1
能麻烦 看看这道题吗？谢谢

Answer 2

P(x)=x4(x+2)-(x+2)=(x+2)(x^4-1)=(x+2)(x^2+1)(x^2-1)=(x+2)(x^2+1)(x+1)(x-1)

Answer 3

这是初中数学题好不好，前两个提x的四次方留下x加二，后面是减去（x+2）,提出x+2不就行了