Chapter 11: Q14. (page 667)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Find GCF.

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

localid="1648026308224" $2 c^{2} d = 2 \cdot c \cdot c \cdot d 4 c^{2} d^{2} = 2 \cdot 2 \cdot c \cdot c \cdot d \cdot d$

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

Step 2. Rewrite.

Rewrite each term using GCF.

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

Step 3. Apply distributive property.

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

$2 c^{2} d (1 - 2 d)$

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

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

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.2c2d−4c2d2

Short Answer

Step by step solution

Step 1. Find GCF.

Step 2. Rewrite.

Step 3. Apply distributive property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Study anywhere. Anytime. Across all devices.

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