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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 11: Q13. (page 667)

Factor each polynomial.
$6 x y + 15 x$

Short Answer

Expert verified

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

Step by step solution

Step 1. Find GCF.

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

$6 x y = 2 \cdot 3 \cdot x \cdot y 15 x = 3 \cdot 5 \cdot x$

Therefore, GCF is $3 x$ .

Step 2. Rewrite.

Rewrite each term using GCF.

$6 x y + 15 x = 3 x (2 y) + 3 x (5)$

Step 3. Apply distributive property.

Apply distributive property, $a (b - c) = a b - a c$ .

$3 x (2 y + 5)$

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

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Factor each polynomial.6xy+15x

Short Answer

Step by step solution

Step 1. Find GCF.

Step 2. Rewrite.

Step 3. Apply distributive property.

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Factor each polynomial.
$6 x y + 15 x$