Chapter 6: Q 6.24TI (page 578)

Factor $m^{2} - 13 m n + 12 n^{2}$

Short Answer

Expert verified

The factored form is $(m - 10 n) (m - n)$

Step by step solution

Given information

Given the polynomial $p^{2} + 15 p q + 20 q^{2}$

Create the factor table

The table is

Factors of $12$	Sum of factors
$1, 12$	$1 + 12 = 13$
$2, 6$	$2 + 6 = 8$
role="math" localid="1644562769558" $- 12, - 1$	$- 1 - 12 = - 13$

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

Here

$m, n = - 12, - 1 m + n = - 13 m \times n = 12$

Substituting the values and form the factored form

The factored form is $(m - 12 n) (m - n)$

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Factor $m^{2} - 13 m n + 12 n^{2}$

Short Answer

Step by step solution

Given information

Create the factor table

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

Substituting the values and form the factored form

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Factorm2-13mn+12n2

Short Answer

Step by step solution

Given information

Create the factor table

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

Substituting the values and form the factored form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Discrete Mathematics

Pure Maths

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Factor $m^{2} - 13 m n + 12 n^{2}$