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 - Chapter Test - Page 719: 22



Work Step by Step

The volume of the prism is: $V=Ah$ Substitute: $3n^3+13n^2+16n+4=A(3n+1)$ $A=\frac{3n^3+13n^2+16n+4}{3n+1}$ $n^2+4n+4$ ____________________________________ $3n+1) 3n^3+13n^2+16n+4$ $-3n^3-n^2$ ____________________________________ $12n^2+16n$ $-12n^2-4n$ ____________________________________ $12n+4$ $-12n-4$ ____________________________________ $0$ Hence, the answer is $A=n^2+4n+4$.
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