## Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole

# Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises: 13

#### Answer

Type: Polynomial Terms: x, -$x^2$, $x^3$, -$x^4$ Degree: 4

#### Work Step by Step

The type of the monomial is a monomial if it has one term, a binomial if it has two terms, and a trinomial if it has three terms. This polynomial has 4 terms, therefore it is not referred to by any of these terms and is simply called a four term polynomial. The terms are simply the values separated by plus and minus signs: x, -$x^2$, $x^3$, -$x^4$. The degree is just the highest exponent of the variable in any of the terms, and if no x is present, the degree is 0. Therefore, the degree of this polynomial is 4.

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