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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 445 (page 638)

Factor completely:
$80 a^{2} + 120 a^{3}$ .

Short Answer

Expert verified

The factored polynomial is:

$40 a^{2} (2 + 3 a)$

Step by step solution

01

Step 1. Given the information.

The polynomial function is,

$80 a^{2} + 120 a^{3}$

02

Step 2. Factoring the polynomial.

$80 a^{2} + 120 a^{3}$

Taking the common factors,

$= 40 a^{2} (2 + 3 a)$

03

Step 3. Checking the solution

$40 a^{2} (2 + 3 a)$

Multiplying the brackets,

$= 40 a^{2} \times 2 + 40 a^{2} \times 3 a = 80 a^{2} + 120 a^{3}$

This is true.

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Most popular questions from this chapter

Why was it important to practice using the binomial squares pattern in the chapter on multiplying polynomials?

In the following exercises, factor completely.

$45 n^{2} + 60 n + 20$

In the following exercises, factor the greatest common factor from each polynomial.

$8 p^{2} + 4 p + 2$

In the following exercises, find the greatest common factor.

$28 x^{2} y^{4}, 42 x^{4} y^{4}$

Factor Trinomials of the Form $a x^{2} + b x + c$ Using Trial and Error.

$4 w^{2} - 5 w + 1$

See all solutions

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