We can categorize polynomials based on two characteristics that every polynomial has: degree, and number of terms.
Definition: The degree of a polynomial is the highest degree of any of its terms. Remember that the degree of a term is the sum of the exponents acting on the term’s variables.
Let’s look at two charts that will help us name certain polynomials:
Degree | Name |
---|---|
0 | constant |
1 | linear |
2 | quadratic |
3 | cubic |
4 | Quartic |
5 | Quantic |
Number of Terms | Type of Polynomial |
---|---|
1 | monomial |
2 | binomial |
3 | trinomial |
To name a polynomial, simply find the name for its degree, find the name for the number of terms it has, and you’re done. It’s that easy. Let’s try some examples.
Example: Name each polynomial by degree and number of terms
Solution:
Below you can download some free math worksheets and practice.
Name each polynomial by degree and number of terms.
This free worksheet contains 10 assignments each with 24 questions with answers.
Example of one question:
Watch below how to solve this example:
Name each polynomial by degree and number of terms.
This free worksheet contains 10 assignments each with 24 questions with answers.
Example of one question:
Watch below how to solve this example:
Name each polynomial by degree and number of terms.
This free worksheet contains 10 assignments each with 24 questions with answers.
Example of one question:
Watch below how to solve this example: