5z^(3)-2z^(4)-9z^(2)+z What is the degree of the polynomial?

Identifying the Degree: The degree of a polynomial is the highest power of the variable that appears in the polynomial with a non-zero coefficient. To find the degree, we need to identify the term with the highest exponent.Analyzing the Polynomial: Looking at the polynomial 5z^(3)-2z^(4)-9z^(2)+z, we see that the terms have exponents of 3, 4, 2, and 1, respectively.Determining the Highest Exponent: The term with the highest exponent is -2z^(4), which has an exponent of 4.Finding the Degree: Therefore, the degree of the polynomial is 4.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

5z^(3)-2z^(4)-9z^(2)+z
What is the degree of the polynomial?

$5z^{3}-2z^{4}-9z^{2}+z$ $\newline$ What is the degree of the polynomial?

View step-by-step help

Home

Math Problems

Algebra 1

Multiply a polynomial by a monomial

Full solution

5z^{3}-2z^{4}-9z^{2}+z

\newline

What is the degree of the polynomial?

Identifying the Degree: The degree of a polynomial is the highest power of the variable that appears in the polynomial with a non-zero coefficient. To find the degree, we need to identify the term with the highest exponent $n$ .
Analyzing the Polynomial: Looking at the polynomial $5z^{3}-2z^{4}-9z^{2}+z$ , we see that the terms have exponents of $3$ , $4$ , $2$ , and $1$ , respectively.
Determining the Highest Exponent: The term with the highest exponent is $-2z^{4}$ , which has an exponent of $4$ .
Finding the Degree: Therefore, the degree of the polynomial is $4$ .