College Algebra (11th Edition)

Published by Pearson

Chapter R - Section R.3 - Polynomials - R.3 Exercises: 34

Answer

Polynomial; Degree of 12; None of these

Work Step by Step

A polynomial is a term or finite sum of terms with only positive or zero integer exponents. -16$x^{5}y^{7}$ + 12$x^{3}y^{8}$ - 4x$y^{9}$ + 18$x^{10}$ is a polynomial but has four terms, so it is neither a monomial, binomial, nor trinomial. Its degree is 12 because the term with the largest degree is -16$x^{5}y^{7}$, and the degree is found by adding the exponents in the term: 5 + 7 = 12

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