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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 7: Q. 7.121 (page 872)

Factor completely: $x^{3} + 36 x$ .

Short Answer

Expert verified

The factor for $x^{3} + 36 x$ is, $x (x^{2} + 36)$ .

Step by step solution

01

Step 1. Given information

$x^{3} + 36 x$ .

We need to find the factor for the given expression.

02

Step 2. Find the GCF.

In the given expression, the GCF is, $x$ .

Factor out the GCF from the given expression.

$x^{3} + 36 x = x (x^{2} + 36)$ .

03

Step 3. Let us check the answer.

Multiply the obtained factors.

$x (x^{2} + 36) = (x . x^{2}) + (x . 36) = x^{3} + 36 x$

which is correct.

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