Factor by grouping.
-$x^{3}-x^{2}+10 x-10$
A) $\left(x^{2}-10\right)(x+1)$
B) $\left(x^{2}-1\right)(x+10)$
C) $\left(x^{2}+10\right)(x-1)$
D) $\left(x^{2}+1\right)(x-10)$

Question

Quizplus · Accepted Answer

To factor by grouping, first split the expression into two pairs: $x^{3}-x^{2}$ and $+10x-10$. Factoring out the common factors gives $x^{2}(x-1) + 10(x-1)$. Notice that $x-1$ is a common factor. Factoring $x-1$ out of both terms gives $(x-1)(x^{2}+10)$, which matches choice C.