Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Practice and Problem-Solving Exercises - Page 669: 21



Work Step by Step

In order to match the first term of the dividend, the divisor must be multiplied by $2w$. The $2w$ will go on top of your division sign. $$(2w)(w-1)=2w^2-2w$$ Then, subtract this from the first two terms of the dividend $$(2w^2+3w+5)-(2w^2-2w)=5w$$ Bring down the next term of the dividend $$5w+5$$ Multiply the divisior by $5$ to match this. The $5$ will follow the $2w$ on top of your division sign. $$(5)(w-1)=5w-5$$ Subtract this from the dividend. $$(5w+5)-(5w-5)=10$$ The remainder of 10 can be put over top of the divisor in the answer.
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