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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: Q11. (page 667)

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

Short Answer

Expert verified

A factor of given polynomial is $2 x (x 鈭� 2)$ .

Step by step solution

01

Step 1. Find GCF.

Find GCF of $2 x^{2}$ and $4 x$ .

$\begin{matrix} 2 x^{2} = 2 鈰� x 鈰� x \\ 4 x = 2 鈰� 2 鈰� x \end{matrix}$

Therefore, GCF is $2 x$ .

02

Step 2. Rewrite.

Rewrite each term using GCF.

$2 x^{2} 鈭� 4 x = 2 x (x) 鈭� 2 x (2)$

03

Step 3. Apply distributive property.

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

$2 x (x 鈭� 2)$

Therefore, factor of given polynomial is $2 x (x 鈭� 2)$ .

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Most popular questions from this chapter

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