Chapter 11: Q. 147E (page 1069)

In the following exercises, factor each expression using any method $6 r^{2} + 30 r + 36$

Short Answer

Expert verified

The factors are $6 (r + 3) (r + 2)$ .

Step by step solution

Step 1. Given Information

The trinomial is $6 r^{2} + 30 r + 36$

Find factors

Step 2. Find GCF

Find GCF from $6 r^{2} + 30 r + 36$ and factor it

GCF is 6

So, $6 (r^{2} + 5 r + 6)$

Step 3. Factor the trinomial inside the parenthesis

Find two numbers such as product is 6 and sum is 5.

So the numbers are 2 and 3

Trinomial becomes $6 (r^{2} + 3 r + 2 r + 6)$

Factor it

localid="1645525480797" $6 (r + 3) (r + 2)$

Step 4. Check

Multiply the factors $6 (r + 2) (r + 3)$

$6 (r^{2} + 2 r + 3 r + 6) 6 (r^{2} + 5 r + 6) 6 r^{2} + 30 r + 36$

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In the following exercises, factor each expression using any method $6 r^{2} + 30 r + 36$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find GCF

Step 3. Factor the trinomial inside the parenthesis

Step 4. Check

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In the following exercises, factor each expression using any method6r2+30r+36

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find GCF

Step 3. Factor the trinomial inside the parenthesis

Step 4. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Logic and Functions

Decision Maths

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, factor each expression using any method $6 r^{2} + 30 r + 36$