Factor the trinomial.

Name: Factor the trinomial.
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Question

Quizplus · Accepted Answer

Since the last term is positive, both factors must have the same sign. We also know that $11e$ can only be factored as $11 \cdot e$ or $-11 \cdot -e$. Therefore, the two factors are either $(11e + \_)(e + \_)$ or $(-11e + \_)(-e + \_)$. We look for two numbers that multiply to give $7a^2$ and add to give $12ae$. The only pair that works is $7a$ and $a$, so the factorization is $(11e + 7a)(e + a)$, which corresponds to choice C.

Factor the Trinomial