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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. 370 (page 898)

Find the Greatest Common Factor from a polynomial
$24 p t^{4} + 16 t^{7}$

Short Answer

Expert verified

The Greatest common factor of $24 p t^{4} + 16 t^{7}$ is:localid="1647774225843" role="math" $8 t^{4} (3 p + 2 t^{3})$

Step by step solution

01

Step 1. Given information

given expression,

$24 p t^{4} + 16 t^{7}$

02

Step 2. Factorize the given expression 24pt4+16t7

Factor is,

$24 p t^{4} + 16 t^{7} = 8 t^{4} (3 p + 2 t^{3})$

03

Step 3. Greatest common factor:

Therefore, $8 t^{4} (3 p + 2 t^{3})$ is a common factor of expression

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