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: 7

Answer

$(n-4)(n-7)$

Work Step by Step

The following pairs of numbers give a product of $ 28 :$ \begin{array}{l}\require{cancel} \{ 1,28 \} \text{ } \{ -1,-28 \} \text{ } \{ 2,14 \} \text{ } \{ -2,-14 \} \text{ } \{ 4,7 \} \text{ } \{ -4,-7 \} .\end{array} Of these pairs, the one which gives a sum of $ -11 $ is the pair $\{ -4,-7 \}.$ Hence, the factored form of the given expression, $ n^2-11n+28 $ is \begin{array}{l}\require{cancel} (n-4)(n-7) .\end{array}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.