Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
-$2 a ^ { 2 } + 2 a b - 9 a - 9 b$
A)(2a - 9)(a - b)
B)(2a + 9)(a - b)
C)(2a - 9)(a + b)
D)(2a + 9)(a + b)

Question

Quizplus · Accepted Answer

The polynomial can be factored by grouping. First, group the terms: $2a^2 + 2ab$ and $-9a - 9b$. Factoring out the common factors in each group gives $2a(a + b) - 9(a + b)$. Then, factor out the common binomial factor $(a + b)$, resulting in $(2a - 9)(a + b)$.

Factor the Polynomial Completely 2a2+2ab−9a−9b2 a ^ { 2 } + 2 a b - 9 a - 9 b2a2+2ab−9a−9b

Factor the Polynomial Completely $2 a ^ { 2 } + 2 a b - 9 a - 9 b$