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 - Chapter Review: 51

Answer

$(d-15)(d-3)$

Work Step by Step

To factor a trinomial in the form $d^2+bd+c$, we must find two numbers whose product is $c$ and whose sum is $b$. We then insert these two numbers into the blanks of the factors $(d+\_)(d+\_)$. In the case of $d^2-18d+45$, we are looking for two numbers whose product is $45$ and whose sum is $-18$. The numbers $-15$ and $-3$ meet these criteria because: $$-15\times(-3)=45\;\text{and}\;-15+(-3)=-18$$When we insert these numbers into the blanks, we arrive at the factors: $(d-15)(d-3)$.
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.