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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. 369 (page 898)

Find the Greatest Common Factor from a polynomial
$15 m^{4} + 6 m^{2} n$

Short Answer

Expert verified

Ans: The Greatest common factor of $15 m^{4} + 6 m^{2} n$ is: localid="1647774041764" $3 m^{2} (5 m^{2} + 2 n)$

Step by step solution

01

Step 1. Given information

given expression,

$15 m^{4} + 6 m^{2} n$

02

Step 2. Factorize the given expression 15m4+6m2n

Factor is,

$15 m^{4} + 6 m^{2} n = 3 m^{2} (5 m^{2} + 2 n)$

03

Step 3. Greatest common factor:

Therefore, $3 m^{2} (5 m^{2} + 2 n)$ is a common factor of expression $15 m^{4} + 6 m^{2} n$

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