Factor by grouping.
-$$x ^ { 3 } + 3 x ^ { 2 } - 10 x - 30$$
A) $( x + 3 ) \left( x ^ { 3 } - 10 x \right)$
B) $\left( x ^ { 2 } + 3 \right) ( x - 10 )$
C) $( x - 3 ) \left( x ^ { 2 } - 10 \right)$
D) $( x + 3 ) \left( x ^ { 2 } - 10 \right)$

Question

Quizplus · Accepted Answer

To factor by grouping, we first split the expression into two groups: $x^3 + 3x^2$ and $-10x - 30$. Factoring out the greatest common factor from each group gives us $x^2(x + 3) - 10(x + 3)$. We can then factor out the common factor $(x + 3)$, resulting in $(x + 3)(x^2 - 10)$.

Factor by Grouping x3+3x2−10x−30x ^ { 3 } + 3 x ^ { 2 } - 10 x - 30x3+3x2−10x−30

Factor by Grouping $x ^ { 3 } + 3 x ^ { 2 } - 10 x - 30$