Q 7.49. Factor: 聽9m+m2+18... [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 7.49. (page 828)

Factor: $9 m + m^{2} + 18$

Short Answer

Expert verified

The factorization of $9 m + m^{2} + 18$ is, $(m + 3) (m + 6)$ .

Step by step solution

Step 1. Given Information

Given expression is $9 m + m^{2} + 18$ .

Step 2. First we put the terms in decreasing degree order

$9 m + m^{2} + 18 = m^{2} + 9 m + 18$

Step 3. Find the last terms of the binomials

Write the factors as two binomials with the first terms $m$ .

$(m) (m)$

Find two numbers that multiply to $18$ and add to $9$ .

Factors of 18	Sum of factors
1, 18	1 + 18 = 19
2, 9	2 + 9 = 11
3, 6	3 + 6 = 9*

Step 4. Factorization

Use $3$ and $6$ as the last terms of the binomials.

$m^{2} + 9 m + 18 = (m + 3) (m + 6)$

Step 5. Check

$(m + 3) (m + 6) = m^{2} + 3 m + 6 m + 18 = m^{2} + 9 m + 18$

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91影视

Factor: $9 m + m^{2} + 18$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. First we put the terms in decreasing degree order

Step 3. Find the last terms of the binomials

Step 4. Factorization

Step 5. Check

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91影视

Factor: 9m+m2+18

Short Answer

Step by step solution

Step 1. Given Information

Step 2. First we put the terms in decreasing degree order

Step 3. Find the last terms of the binomials

Step 4. Factorization

Step 5. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Statistics

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Factor: $9 m + m^{2} + 18$