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 670: 36

Answer

$(x^2+3x+2)÷(x+1)=x+2$ (answers vary)

Work Step by Step

An example of a binomial is $(x+1)$ and an example of a trinomial is $(x^2+3x+2)$. Dividing the trinomial by the binomial using the long division method below results in $$\begin{aligned} & (x^2+3x+2)÷(x+1) \\&= x+2+\frac{\color{red}{0}}{\color{red}{}\color{blue}{x+1}} \\&= x+2 .\end{aligned} $$
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