All SAT Math Resources
Example Questions
Example Question #1 : How To Find The Degree Of A Polynomial
Find the degree of the polynomial:
To find the degree of a polynomial we must find the largest exponent in the function.
The degree of the polynomial is 5, as the largest exponent of is 5 in the second term.
Example Question #1 : Polynomials
What is the degree of the polynomial ?
When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.
has a degree of 4 (since both exponents add up to 4), so the polynomial has a degree of 4 as this term has the highest degree.
Example Question #3 : How To Find The Degree Of A Polynomial
Find the degree of the following polynomial:
When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.
Even though has a degree of 5, it is not the highest degree in the polynomial -
has a degree of 6 (with exponents 1, 2, and 3). Therefore, the degree of the polynomial is 6.
Example Question #1 : How To Find The Degree Of A Polynomial
Solve each problem and decide which is the best of the choices given.
What is the degree of the following polynomial?
The degree is defined as the largest exponent in the polynomial. In this case, it is .
Example Question #21 : Variables
What is the degree of this polynomial?
Degree 8
Degree 10
Degree 7
Degree 6
Degree 12
Degree 8
When an exponent with a power is raised to another power, the value of the power are multiplied.
When multiplying exponents you add the powers together
The degree of a polynomial is the determined by the highest power. In this problem the highest power is 8.
Example Question #1 : How To Find The Degree Of A Polynomial
Find the degree of the following polynomial:
The degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).
Here, the term with the largest exponent is , so the degree of the whole polynomial is 6.