Polynomials Unit 3 Lessons 1-2
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Polynomials are algebraic expressions consisting of terms with variables raised to whole number powers. They are classified by the number of terms as monomials (1 term), binomials (2 terms), or trinomials (3 terms). They are also classified by degree, which is the highest power of the variable. Lower degree polynomials are called constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), or quartic (degree 4). To add or subtract polynomials, like terms are combined.
Polynomials Unit 3 Lessons 1-2
- 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