Chapter 7: Q 32. (page 819)

In the following exercises, factor the greatest common factor from each polynomial.
$10 q^{2} + 14 q + 20$

Short Answer

Expert verified

The required answer is $2 (5 q^{2} + 7 q + 10)$ .

Step by step solution

Step 1. Given information.

The given polynomial is:

$10 q^{2} + 14 q + 20$

Step 2. Factor the greatest common factor from the polynomial.

Find the GCF of $10 q^{2}, 14 q, and 20$ ,

$10 q^{2} = 2 \cdot 5 \cdot q \cdot q 14 q = 2 \cdot 7 \cdot q 20 = 2 \cdot 2 \cdot 5$

GCF $= 2$

Rewrite each term as a product using the GCF,

$2 \cdot 5 q^{2} + 2 \cdot 7 q + 2 \cdot 10$

Factor the GCF,

$2 (5 q^{2} + 7 q + 10)$

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In the following exercises, factor the greatest common factor from each polynomial.
$10 q^{2} + 14 q + 20$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Factor the greatest common factor from the polynomial.

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In the following exercises, factor the greatest common factor from each polynomial.10q2+14q+20

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Factor the greatest common factor from the polynomial.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Geometry

Logic and Functions

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, factor the greatest common factor from each polynomial.
$10 q^{2} + 14 q + 20$