# Degree of a Polynomial

The
**
degree of a
**
monomial
is the sum of the exponents of all its variables.

**
Example 1:
**

The degree of the monomial $7{y}^{3}{z}^{2}$ is $5\left(=3+2\right)$ .

**
Example 2:
**

The degree of the monomial $7x$ is $1$ (since the power of $x$ is $1$ ).

**
Example 3:
**

The degree of the monomial $66$ is $0$ (constants have degree $0$ ).

The
**
degree of a
**
polynomial
is the greatest of the degrees of its terms (after it has been simplified.)

**
Example 4:
**

The degree of the polynomial

${x}^{7}+2{x}^{3}+6x-{x}^{7}$ is $3$ .

(since the polynomial can be simplified to $2{x}^{3}+6x$ , in which the term with the highest power of $x$ is $2{x}^{3}$ ).

**
Example 5:
**

The degree of the polynomial

$xyz+x{y}^{3}+99{x}^{2}$ is 4

(since the term $x{y}^{3}$ has degree $1+3=4$ .)

- OAE - Ohio Assessments for Educators Courses & Classes
- Grant Writing Tutors
- High School World History Tutors
- AAPC - American Academy of Professional Coders Test Prep
- REGENTS Courses & Classes
- South Dakota Bar Exam Test Prep
- GRE Courses & Classes
- CPC - Certified Professional Coder (medical billing) Tutors
- Series 57 Courses & Classes
- CPA Courses & Classes
- 3rd Grade Homework Tutors
- NNAT Courses & Classes
- SAT Subject Test in Chemistry Test Prep
- Theoretical Pharmacology Tutors
- BCABA - Board Certified Assistant Behavior Analyst Test Prep
- GACE - Georgia Assessments for the Certification of Educators Courses & Classes
- Delaware Bar Exam Test Prep
- Cartography Tutors
- Operating Systems Tutors
- Psychophysics Tutors