Question

Factor each polynomial.

$6xy+15x$

Short answer

A factor of given polynomial is $3x\left(2y+5\right)$.

Step-by-step solution

Step 1. Find GCF.

Find GCF of$6xy$ and $15x$.

$$\begin{gathered} 6xy=2\cdot 3\cdot x\cdot y \\ 15x=3\cdot 5\cdot x \end{gathered}$$

Therefore, GCF is $3x$.

Step 2. Rewrite.

Rewrite each term using GCF.

$6xy+15x=3x\left(2y\right)+3x\left(5\right)$

Step 3. Apply distributive property.

Apply distributive property, $a\left(b-c\right)=ab-ac$.

$3x\left(2y+5\right)$

Therefore, factor of given polynomial is $3x\left(2y+5\right)$.