Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.9 Write Polynomial Functions and Models - 5.9 Exercises - Quiz for Lessons 5.7-5.9 - Page 399: 5



Work Step by Step

Using the Factor Theorem, if $x=a$ is a factor, then $(x-a)$ is a factor of $f(x)$. Hence here $f(x)=(x-(-3))(x-5)(x-(7+\sqrt 2))(x-(7-\sqrt 2))\\=(x+3)(x-5)(x-7-\sqrt 2)(x-7+\sqrt 2)\\=(x^2-14x+47)(x-5)(x+3)\\=(x^2-2x-15)(x^2-14x+48)\\=x^4-16x^3+61x^2+114x-720\\=x^4-16x^3+61x^2+114x-720$
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.