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: 64

Answer

$-5x^4-4xy-9y^3$ 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.)
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