Chapter 6: Q 6.21TI (page 577)

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

Short Answer

Expert verified

The factored form is $(m + 3) (m + 6)$

Step by step solution

Given information

Given polynomial $9 m + m^{2} + 18$

Arranging in decreasing order

The polynomial in decreasing order is $m^{2} + 9 m + 18$

Writing as parentheses

The polynomial can be written as $(m) (m)$ . The table is

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

Use m,n as last terms of factors and form the factored polynomial

Here

$m, n = 3, 6 m + n = 9 m \times n = 18$

Substitute the values and form the factored form

The factored form is $(x + 3) (x + 6)$

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

Short Answer

Step by step solution

Given information

Arranging in decreasing order

Writing as parentheses

Use m,n as last terms of factors and form the factored polynomial

Substitute the values and form the factored form

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Factor9m+m2+18

Short Answer

Step by step solution

Given information

Arranging in decreasing order

Writing as parentheses

Use m,n as last terms of factors and form the factored polynomial

Substitute the values and form the factored form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Applied Mathematics

Probability and Statistics

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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