Q 129. Consecutive integers Deirdre is ... [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 129. (page 833)

Consecutive integers Deirdre is thinking of two
consecutive integers whose product is $56$ . The trinomial $x^{2} + x - 56$ describes how these numbers are related. Factor the trinomial.

Short Answer

Expert verified

The factorization of $x^{2} + x - 56$ is, $(x - 7) (x + 8)$ .

Step by step solution

Step 1. Given information

Given expression is $x^{2} + x - 56$ .

Step 2. Find the last terms of the binomials

Write the factors as two binomials with the first terms $x$ .

$(x) (x)$

Find the numbers that multiply $- 56$ and add to $1$ .

Factors of -56	Sum of factors
-1, 56	-1 + 56 = 55
-2, 28	-2 + 28 = 26
-4, 14	-4 + 14 = 10
-7, 8	-7 + 8 = 1*
-56, 1	-56 + 1 = -55
-28, 1	-28 + 1 = -27
-14, 4	-14 + 4 = -10
-8, 7	-8 + 7 = -1

Step 3. Factorization

Use $- 7$ and $8$ as the last terms of the binomials.

$x^{2} + x - 48 = (x - 7) (x + 8)$

Step 4. Check

$(x - 7) (x + 8) = x^{2} + 8 x - 7 x - 56 = x^{2} + x - 56$

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91影视

Consecutive integers Deirdre is thinking of two
consecutive integers whose product is $56$ . The trinomial $x^{2} + x - 56$ describes how these numbers are related. Factor the trinomial.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the binomials

Step 3. Factorization

Step 4. Check

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91影视

Consecutive integers Deirdre is thinking of twoconsecutive integers whose product is 56. The trinomial x2+x-56describes how these numbers are related. Factor the trinomial.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the binomials

Step 3. Factorization

Step 4. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Calculus

Applied Mathematics

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

Consecutive integers Deirdre is thinking of two
consecutive integers whose product is $56$ . The trinomial $x^{2} + x - 56$ describes how these numbers are related. Factor the trinomial.