Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-1 Adding and Subtracting Polynomials - Lesson Check: 4

Answer

$x^{2}$ - 3x - 7

Work Step by Step

STEP 1: First, write down the equation. ($x^{2}$ - 2) - (3x + 5) STEP 2: In order to remove the parentheses, we need to distribute the negative sign to the second binomial. Since both terms, 3x and 5, in the second binomial are positive, distributing will make them both negative, -3x and -5. $x^{2}$ - 2 - 3x - 5 STEP 3: Then, group like terms together. The terms -2 and -5 both have a degree of 0, so they are the only like terms in this problem. $x^{2}$ - 3x - 2 - 5 STEP 4: Combine the like terms together to simplify. $x^{2}$ - 3x - 7
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