Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.3 - Factoring Trinomials of the Form x^2+bx+x - Problem Set 6.3: 5

Answer

$(x-2)(x-9)$

Work Step by Step

The following pairs of numbers give a product of $ 18 :$ \begin{array}{l}\require{cancel} \{ 1,18 \} \text{ } \{ -1,-18 \} \text{ } \{ 2,9 \} \text{ } \{ -2,-9 \} \text{ } \{ 3,6 \} \text{ } \{ -3,-6 \} .\end{array} Of these pairs, the one which gives a sum of $ -11 $ is the pair $\{ -2,-9 \}.$ Hence, the factored form of the given expression, $ x^2-11x+18 $ is \begin{array}{l}\require{cancel} (x-2)(x-9) .\end{array}
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