Algebra 1

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

Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises: 27

Answer

$25x^2(9-\pi)$

Work Step by Step

The area of the metal portion of the frame is the total area reduced by the area taken up by the mirror. The total area inside the frame is $l\times w=15x\times15x=225x^2$ The area of the circular mirror is $\pi r^2=\pi(5x)^2=25\pi x^2$ The area of the metal portion of the frame is the total area reduced by the area taken up by the mirror. $225x^2-25\pi x^2$ Find the greatest common factor of the terms. Find the prime factors of each term. Multiply the common factors to find the GCF. $225x^2=\underline5\times\underline5\times9\times\underline x\times\underline x$ $25\pi x^2=\underline5\times\underline5\times\pi \times\underline x\times\underline x$ GCF$=5\times5\times x\times x=25x^2$ Factor the GCF out of each term. Use the factors that were not part of the GCF. $225x^2-25\pi x^2=25x^2(9-\pi)$
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.