Question

Completely factor this trinomial. Prior to factoring, first write the trinomial in decreasing powers.

$14 a^2 b^3+15 a b^3-9 b^3$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 7We must factor completely the given polynomial:

$14a^2b^3 + 15ab^3 - 9b^3$

First, factor out *the greatest common factor* $(GCF)$:

To find the greatest common factor, first factor the terms:

$\begin{align*} 14a^2b^3&= b^3\cdot 14 \cdot a^2\\ 15ab^3&=b^3 \cdot 15 \cdot a \\ 9b^3&=b^3\cdot 9 \end{align*}$

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