Factor the polynomial expression by grouping.

Question

Quizplus · Accepted Answer

Since we are asked to factor by grouping, we need to group the terms in pairs in such a way that we can factor out a common factor from each pair. The first two terms have a common factor of 11e, and the last two terms have a common factor of 84f4. Factoring these out gives:

11ec + 84f4c + 19db + 84f4b

= 11e(c + 764b) + 84f4(c + 764b)

We can now see that there is a common factor of (c + 764b), so we can factor this out:

= (c + 764b)(11e + 84f4)

Therefore, the answer is B.

Factor the Polynomial Expression by Grouping