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Q17.

Expert-verified

Algebra 1

Found in: Page 514

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Find the greatest common factor of each set of monomials.
$6 a b, 24 a b^{4}$

The greatest common factor of the given set of monomials is $6 a b$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Find the factorization of 6ab and 24ab4.

Find the factorization of $6 a b$ and $24 a b^{4}$ .

$6 a b = 2 \cdot 3 \cdot a \cdot b 24 a b^{4} = 2 \cdot 2 \cdot 2 \cdot 3 \cdot a \cdot b \cdot b \cdot b \cdot b$

Step 2. Find the greatest common factor of 6ab and 24ab4.

From the factorization of $6 a b$ and $24 a b^{4}$ , it can be noticed that the greatest common factor of $6 a b$ and $24 a b^{4}$ is $2 \cdot 3 \cdot a \cdot b$ or $6 a b$ .

Therefore, the greatest common factor of the given set of monomials is $6 a b$ .

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