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 - 8-3 Multiplying Binomials - Apply What You've Learned - Page 503: a

Answer

$x^{2}+8x+12$

Work Step by Step

a. The length of Kelly's plot is $x+6$ ft. The width of Kelly's plot is $x+2$ ft. The area of Kelly's plot is $(x+6)(x+2)$ Table of products$:$ $\left.\begin{array}{rll} & x & +2\\ \hline x |& x^{2} & 2x\\ +6| & 6x & +12 \end{array}\right.$ $=x^{2}+2x+6x+12$ ...gather like terms. =$x^{2}+8x+12$
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