College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4 - Page 61: 64


$-5x^4-4xy-9y^3$ has a degree of 4.

Work Step by Step

$$(x^4-7xy-5y^3)-(6x^4-3xy+4y^3)$$ $$=(x^4-7xy-5y^3)+(-6x^4+3xy-4y^3)$$ $$=(x^4-6x^4)+(-7xy+3xy)+(-5y^3-4y^3)$$ $$=-5x^4-4xy-9y^3$$ Because the term with the largest degree is -5x^4, the degree of the expression is 4. (Add the degrees of each variable in the term to determine its degree.)
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.