Q. 93 In the following exercises, fact... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

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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91影视

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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91影视

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

Applied Mathematics

Logic and Functions

Probability and Statistics

Decision Maths

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

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