Algebra 1 : How to find the degree of a polynomial
Study concepts, example questions & explanations for Algebra 1
All Algebra 1 Resources
Example Questions
Example Question #1 : How To Find The Degree Of A Polynomial
Give the degree of the polynomial.
The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7.
The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.
Example Question #1 : How To Find The Degree Of A Polynomial
What is the degree of the polynomial?
To find the degree of the polynomial, you first have to identify each term [term is for example 
EX: 
Highest degree is 
Example Question #1 : How To Find The Degree Of A Polynomial
What is the degree of the polynomial?
To find the degree of the polynomial, add up the exponents of each term and select the highest sum.
12x2y3: 2 + 3 = 5
6xy4z: 1 + 4 + 1 = 6
2xz: 1 + 1 = 2
The degree is therefore 6.
Example Question #1 : How To Find The Degree Of A Polynomial
What is the degree of the polynomial?
The degree is the highest exponent value of the variables in the polynomial.
Here, the highest exponent is x5, so the degree is 5.
Example Question #1 : How To Find The Degree Of A Polynomial
Simplify:
None of the above
2x
-1
1
5
-1
The given expression can be re-written as:
Cancel (2x - 5):
Example Question #1 : How To Find The Degree Of A Polynomial
Find the degree of the polynomial:
The polynomial terms may only have variables raised to positive integer exponents. No square roots, fraction powers, and variables in the denominator are allowed.
The correct answer is:
Example Question #1 : How To Find The Degree Of A Polynomial
What is the degree of the following polynomial?
The degree of the polynomial is the highest power in the polynomial.
The highest power given is the term:
Therefore, the degree of the polynomial is 
Example Question #8 : How To Find The Degree Of A Polynomial
What is the degree of following polynomial?
The degree of a polynomial with a single variable (in our case, 
Example Question #1 : How To Find The Degree Of A Polynomial
What is the degree of the following polynomial?
The polynomial has more than one variable. The degree of the polynomial is the largest sum of the exponents of ALL variables in a term.
The first term is 
The degree of this term is
The second term is 
The degree of this term is 
The degree of the polynomial is the largest of these two values, or 
Example Question #1 : How To Find The Degree Of A Polynomial
What is the degree of the following polynomial?
To find the degree of a polynomial, simply find the highest exponent in the expression. As seven is the highest exponent above, it is also the degree of the polynomial.
All Algebra 1 Resources
