Determine whether the expression is a polynomial. If it is a polynomial, state the degree of the...

Question:

Determine whether the expression is a polynomial. If it is a polynomial, state the degree of the polynomial.

{eq}5x^3 + 2xy^4 + 6xy {/eq}

Polynomials:

A polynomial is a collection of two or more algebraic expressions composed of constants, variables and mathematical operations. These algebraic expressions should have exponents that are positive integers and the expression is not expressed in fraction form.

Answer and Explanation:

The given expression, {eq}5x^3 + 2xy^4 + 6xy {/eq} is a polynomial. To determine the degree of the polynomial, the sum of the exponents of the variables in a given term has to be added:

  • The first term's highest degree is 3
  • The second term's variables has a degree of {eq}1 + 4 = 5 {/eq}
  • The third term has a degree of {eq}1 + 1 = 2 {/eq}

The degree of the polynomial is 5.


Learn more about this topic:

Loading...
What Are Monomials & Polynomials?

from 6th-8th Grade Math: Practice & Review

Chapter 55 / Lesson 1
9.8K

Related to this Question

Explore our homework questions and answers library