Factor by grouping.
-$x^{3}-2 x^{2}-5 x+10$
A) $(x-2)\left(x^{2}-5\right)$
B) $(x-2)\left(x^{2}+5 x\right)$
C) $(x+2)\left(x^{3}-5\right)$
D) $(x+2)\left(x^{2}+5\right)$

Question

Quizplus · Accepted Answer

To factor by grouping, we first split the polynomial into two groups: $x^{3}-2x^{2}$ and $-5x+10$. Factoring out the greatest common factor from each group gives us $x^{2}(x-2)-5(x-2)$. Notice that $x-2$ is a common factor, so we can factor it out to get $(x-2)(x^{2}-5)$.

Factor by Grouping x3−2x2−5x+10x^{3}-2 x^{2}-5 x+10x3−2x2−5x+10 A) (x−2)(x2−5)(x-2)\left(x^{2}-5\right)(x−2)(x2−5) B) (x−2)(x2+5x)(x-2)\left(x^{2}+5 x\right)(x−2)(x2+5x) C) (x+2)(x3−5)(x+2)\left(x^{3}-5\right)(x+2)(x3−5) D) (x+2)(x2+5)(x+2)\left(x^{2}+5\right)(x+2)(x2+5)

Factor by Grouping $x^{3}-2 x^{2}-5 x+10$ A) $(x-2)\left(x^{2}-5\right)$ B) $(x-2)\left(x^{2}+5 x\right)$ C) $(x+2)\left(x^{3}-5\right)$ D) $(x+2)\left(x^{2}+5\right)$