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 - Practice and Problem-Solving Exercises: 35

Answer

$-18x^{2} +228x +2300$

Work Step by Step

Since we want the total number of students, we add the two polynomials. In order to add monomials, we combine like terms. Like terms are terms that have the same variable raised to the same power. Note, by this definition, numbers like 1200 and 1100 are also like terms as they both have a degree of 0. Thus, we combine like terms to obtain the answer: $-18x^{2} +228x +2300$
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