Q. 113 In the following exercise, facto... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 7: Q. 113 (page 833)

In the following exercise, factor each expression
$u^{2} - 12 u + 36$

Short Answer

Expert verified

The factorization of the expression $u^{2} - 12 u + 36$ is ${(u - 6)}^{2}$

Step by step solution

Step 1. Given information

Given expression is $u^{2} - 12 u + 36$

Step 2. Find the last terms of the binomials.

The factors of the expression:

Factors of 36	Sum of factors
-2, -18	-2 + (-18) = -20
-4, -9	-4 + (-9) = -13
-12, -3	-12 + (-3) = -15
-6, -6	-6 + (-6) = -12

Step 3. Factorization

Use $- 6$ and $- 6$ as the last terms of the binomial.

role="math" localid="1649221037735" $u^{2} - 12 u + 36 = (u - 6) (u - 6)$

Step 4. Check

$(u - 6) (u - 6) = u^{2} - 6 u - 6 u + 36 = u^{2} - 12 u + 36$

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91影视

In the following exercise, factor each expression
$u^{2} - 12 u + 36$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the binomials.

Step 3. Factorization

Step 4. Check

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91影视

In the following exercise, factor each expressionu2-12u+36

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the binomials.

Step 3. Factorization

Step 4. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercise, factor each expression
$u^{2} - 12 u + 36$