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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 7: Q 7.15. (page 813)

Factor: $5 x^{2} - 25 x + 15$

Short Answer

Expert verified

The required factor is $5 (x^{2} - 5 x + 3)$ .

Step by step solution

01

Step 1. Given information.

The given polynomial is:

$5 x^{2} - 25 x + 15$

02

Step 2. Find the GCF.

Find the GCF of $5 x^{2}, 25 x, and 15$ ,

$5 x^{2} = 5 路 x 路 x 25 x = 5 路 5 路 x 15 = 3 路 5$

GCF $= 5$

03

Step 3. Find the factor.

Rewrite each term as a product using the GCF,

$5 路 x^{2} - 5 路 5 x + 5 路 3$

Factor the GCF,

$5 (x^{2} - 5 x + 3)$

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