Chapter 7: Q 128. (page 833)

In the following exercises, factor each expression
$r^{2} + 11 r s + 36 s^{2}$

Short Answer

Expert verified

The expression, $r^{2} + 11 r s + 36 s^{2}$ is a prime.

Step by step solution

Step 1. Given information

Given expression is $r^{2} + 11 r s + 36 s^{2}$ .

Step 2. Find the last terms of the trinomials

Write the factors as trinomials, $r$ in the first term of each binomial and $s$ in the second term.

(r_s)(r_s)

Find the numbers that multiply 36 and add to $11$ .

Factors of 36	Sum of factors
1, 36	1 + 36 = 37
2, 18	2 + 18 = 20
3, 12	3 + 12 = 15
9, 4	9 + 4 = 13
6, 6	6 + 6 = 12

Step 3. Factorization

As shown in the table, none of the factors add to $11$ ; therefore, the expression is prime.

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In the following exercises, factor each expression
$r^{2} + 11 r s + 36 s^{2}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the trinomials

Step 3. Factorization

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In the following exercises, factor each expression r2+11rs+36s2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the trinomials

Step 3. Factorization

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Statistics

Calculus

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, factor each expression
$r^{2} + 11 r s + 36 s^{2}$