Algebra 1: Common Core (15th Edition)

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

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Got It? - Page 679: 2


The answer is $2m+3$.

Work Step by Step

Given: $(2m^2-m-3) \div (m+1)$ Begin the long division process: Divide: $2m^2 \div m =2m$ Multiply: $2m^2 +2m$ Then subtract: $-3m -3$ Repeat the process: Divide: $-3m \div m = -3$ Multiply: $-3(m+1)=-3m-3$ Then subtract. The remainder is $0$. The answer is $2m+3$.
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