Polynomial Degree Calculator
'Polynomial Degree Calculator' is an online tool that helps to calculate the degree of a given polynomial.
What is the Polynomial Degree Calculator?
Online Polynomial Degree Calculator helps you to calculate the degree of a given polynomial within a few seconds.
Polynomial Degree Calculator
NOTE: Please enter the polynomial in terms of 'x' only.
How to Use Polynomial Degree Calculator?
Please follow the below steps to find the degree of a polynomial:
- Step 1: Enter the polynomial in the given input box.
- Step 2: Click on the "Find" button to find the degree of a polynomial.
- Step 3: Click on the "Reset" button to clear the fields and find the degree for different polynomials
How to Find Polynomial Degree?
The degree of a polynomial is defined as the highest exponential power of the variable term in the polynomial indicates the degree of that polynomial. Only variables are considered to check for the degree of any polynomial, coefficients are to be ignored.
Solved Examples on Polynomial Degree Calculator
Example 1:
Find the degree of a polynomial x2 + 5x + 6
Solution:
x2 has a degree of 2 (x has an exponent of 2)
5x has a degree of 1 (x has an exponent of 1)
Therefore, the largest degree out of those is 2, so the polynomial has a degree of 2.
Example 2:
Find the degree of a polynomial x5 - 5x2 + 6
Solution:
x5 has a degree of 5 (x has an exponent of 5)
5x2 has a degree of 2 (x has an exponent of 2)
Therefore, the largest degree out of those is 5, so the polynomial has a degree of 5.
Example 3:
Find the degree of a polynomial x4 + 6x3 - 2x + 5
Solution:
x4 has a degree of 4 (x has an exponent of 4)
6x3 has a degree of 3 (x has an exponent of 3)
2x has a degree of 1 (x has an exponent of 1)
Therefore, the largest degree out of those is 4, so the polynomial has a degree of 4.
Similarly, you can try the calculator to find the degree of a polynomial for
a) 8x3 + 2x2 + x+ 1 b) 5x2 + 7x + 9