Factor x^4 + X^3 -X2 -X?

show work please. Is this prime or can i use diff/sum of cubes? I don't remember this stuff.

2009-03-18T20:13:26Z

I realize the x factors out (GCF), but after that, is there any way to factor the problem?

Anonymous2009-03-18T20:11:12Z

Favorite Answer

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

<32009-03-18T20:10:43Z

X(X^3 + X^2 - X)

pittisit432009-03-18T20:10:40Z

x(x^3 + x^2 - x - 1)

Anonymous2009-03-18T20:12:19Z

x^4 + x^3 - x^2 - x.
= x^3(x + 1) - x(x + 1)
= (x + 1) (x^3 -x)
= (x + 1) x(x^2 - 1)
= x(x + 1)(x - 1)(x + 1).

I hope that's right =S too much factoring.

Nor Aswani M2009-03-18T20:19:29Z

x^4 + x^3 - x^2 - x.
= x^3(x + 1) - x(x + 1)
= (x + 1) (x^3 -x)
= (x + 1) x(x^2 - 1)
= x(x + 1)(x - 1)(x + 1).
i think this should be the best answer..

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