Review of classifying, adding and subtracting polynomials

Published on: **Mar 4, 2016**

- 1. Polynomials What is a polynomial? A polynomial is the sum or difference of a collection of algebraic terms. A polynomial with one term is called a monomial. A polynomial with two terms is called a binomial . A polynomial with three terms is called a trinomial.
- 2. Classifying Polynomials Polynomials are classified by the number of terms and by degree. Classification by number of terms was given on the previous slide. A polynomial with more than three terms is referred to as a polynomial with that many terms, for instance a polynomial with four terms is called a polynomial with 4 terms. To classify polynomials by degree, look for the greatest power in x.
- 3. Classifying Polynomials by Degree A polynomial with a degree of zero is called a constant. A polynomial with a degree of one is called linear. A polynomial with a degree of two is called quadratic. A polynomial with a degree of three is called cubic.
- 4. Classify the following polynomials by number of terms and degree. Ex 1 3x3 x binomial; cubic Ex 2 2 x4 5x 2 trinomial; quartic Ex 3 x 5 binomial; linear Ex 4 3x 2 monomial; quadratic
- 5. Adding and Subtracting Polynomials To add and subtract polynomials, simply combine like terms. Here is an example of addition: 2 x 2 3x 7 4 x 2 5 x 19 6 x 2 8 x 12 Here is an example of subtraction: 2 2 3x 5 x 7 7 x 9 x 12 2 4x 4x 5