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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. 390 (page 898)

In the following exercises, identify the best method to use to factor each polynomial.
$12 r^{2} + 32 r + 5$

Short Answer

Expert verified

Method used to factor the polynomial is using 'ac' method i.e; splitting the middle terms.

The factors are $(2 r + 5) (6 r + 1)$

Step by step solution

01

Step 1. Given information

The given trinomial is $12 r^{2} + 32 r + 5$

02

Step 2. Factor the trinomial

So factorisation is as follows:

$12 r^{2} + 32 r + 5 = 12 r^{2} + 30 r + 2 r + 5 = 6 r (2 r + 5) + 1 (2 r + 5) = (2 r + 5) (6 r + 1)$

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