Chapter 7: Q. 93 (page 832)

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$
$8 - 6 x + x^{2}$

Short Answer

Expert verified

The factorization of $8 - 6 x + x^{2}$ is $(x - 2) (x - 4)$

Step by step solution

step 1. Given information

Given expression is $8 - 6 x + x^{2}$

Step 2. Find the last terms of the binomial.

The factor of the expression:

The factor of 8	Sum of factor
-2, -4	-2 + (-4) = -6
-1, -8	-1 + (-8) = -9

Step 3. Factorization

Use $- 2$ and $- 4$ as the last terms of the binomial.

$8 - 6 x + x^{2} = (x - 2) (x - 4)$

Step 4. Check

$(x - 2) (x - 4) = x^{2} - 2 x - 4 x + 8 = x^{2} - 6 x + 8 = 8 - 6 x + x^{2}$

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In the following exercises, factor each trinomial of the form $x^{2} + b x + c$
$8 - 6 x + x^{2}$

Short Answer

Step by step solution

step 1. Given information

Step 2. Find the last terms of the binomial.

Step 3. Factorization

Step 4. Check

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In the following exercises, factor each trinomial of the form x2+bx+c8-6x+x2

Short Answer

Step by step solution

step 1. Given information

Step 2. Find the last terms of the binomial.

Step 3. Factorization

Step 4. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Discrete Mathematics

Logic and Functions

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$
$8 - 6 x + x^{2}$