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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 11: Q14. (page 667)

Factor each polynomial.
$2 c^{2} d 鈭� 4 c^{2} d^{2}$

Short Answer

Expert verified

A factor of given polynomial is $2 c^{2} d (1 鈭� 2 d)$ .

Step by step solution

01

Step 1. Find GCF.

Find GCF of $2 c^{2} d$ and $4 c^{2} d^{2}$ .

localid="1648026308224" $2 c^{2} d = 2 鈰� c 鈰� c 鈰� d 4 c^{2} d^{2} = 2 鈰� 2 鈰� c 鈰� c 鈰� d 鈰� d$

Therefore, GCF is $2 c^{2} d$ .

02

Step 2. Rewrite.

Rewrite each term using GCF.

$2 c^{2} d 鈭� 4 c^{2} d^{2} = 2 c^{2} d (1) 鈭� 2 c^{2} d (2 d)$

03

Step 3. Apply distributive property.

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

$2 c^{2} d (1 鈭� 2 d)$

Therefore, factor of given polynomial is $2 c^{2} d (1 鈭� 2 d)$ .

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Most popular questions from this chapter

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