5.1 Notes Introduction to Polynomials and Polynomial Functions

Warm-up: List all the factors of 24.

Terms and Polynomials Here are examples of an algebraic expressions: Terms in an expression are separated by a (+) or (–) If an expression has one term it’s called a monomial The sum or difference of many monomials is generally called a polynomial. is not a monomial because it’s division by a variable. One term Two terms Three terms

Is it a polynomial?

Degree of a Polynomial The degree of a term of a polynomial is the number of variable factors in that term. Determine the degree of each monomial

Leading Term & Coefficient Terms Coefficients Degree

Standard Form We usually write polynomials so that the degree of each term is in descending order. This is called standard form. Find the degree of the polynomial and write it in standard form.

Classifying Polynomials We classify polynomials by degree and number of terms. Classify each polynomial below.

Adding and Subtracting Polynomials

Polynomial Functions Use the following functions and perform the indicated operations. a) Find f(–3) b) Find f(x) + g(x) c) Find g(x) – f(x)

5.1 HW On mathxlforschool.com due Sunday at midnight.