Factor the polynomial by grouping.
-$$x ^ { 2 } + 9 x + 2 x + 18$$
A) prime
B) $( x - 9 ) ( x + 2 )$
C) $( x + 9 ) ( x + 2 )$
D) $( x - 9 ) ( x - 2 )$

Question

Quizplus · Accepted Answer

The polynomial $x^2 + 9x + 2x + 18$ can be factored by grouping as follows: First, group the terms $(x^2 + 9x)$ and $(2x + 18)$. Factoring out the common factors in each group gives $x(x + 9) + 2(x + 9)$. Then, factor out the common factor $(x + 9)$, resulting in $(x + 9)(x + 2)$.

Factor the Polynomial by Grouping x2+9x+2x+18x ^ { 2 } + 9 x + 2 x + 18x2+9x+2x+18

Factor the Polynomial by Grouping $x ^ { 2 } + 9 x + 2 x + 18$