Chapter 6: Q. 136E (page 590)

In the following exercises, factor each expression using any method $x^{2} - 14 x - 32$

Short Answer

Expert verified

The factors are $(x - 16) (x + 2)$

Step by step solution

Step 1. Given Information

The trinomial is $x^{2} - 14 x - 32$

Find factors by splitting middle term

Step 2. Factor the trinomial

Split the middle term of trinomial to find factors

Find two numbers such as their product is $- 32$ and sum is $- 14$ .

The numbers are $- 16 a n d + 2$

$x^{2} - 14 x - 32 x^{2} - 16 x + 2 x - 32$

Factor it

$x (x - 16) + 2 (x - 16) (x - 16) (x + 2)$

Step 3. Check

Multiply the factors $(x - 16) (x + 2)$

$x^{2} - 16 x + 2 x - 32 x^{2} - 14 x - 32$

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In the following exercises, factor each expression using any method $x^{2} - 14 x - 32$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Factor the trinomial

Step 3. Check

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In the following exercises, factor each expression using any methodx2−14x-32

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Factor the trinomial

Step 3. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Probability and Statistics

Discrete Mathematics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, factor each expression using any method $x^{2} - 14 x - 32$