Algebra 1

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

Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises: 15

Answer

$(t+2)(t+8)$

Work Step by Step

$t^2+10t+16$ Factors of 16 | Sum of Factors $\ \ \ \ \ \ 1,16\ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 17$ $\ \ \ \ \ \ 2,8\ \ \ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 10\checkmark$ $\ \ \ \ \ \ 4,4\ \ \ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 8$ Since all the terms in the binomial are added, the factors will both include addition. $t^2+10t+16=(t+2)(t+8)$ Use the FOIL method to check the answer. $(t+2)(t+8)=t^2+8t+2t+16=t^2+10t+16\checkmark$
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