5.1 ADDITION AND SUBTRACTION OF POLYNOMIALS AND POLYNOMIAL FUNCTIONS

5.1.1 POLYNOMIALS: BASIC DEFINITIONS

A polynomial in x is defined as a finite sum of terms in the form axn .

n is a whole number.

a is a real number.

a is called the coefficient of the term.

NUMBER OF TERMS

Polynomials can be named by how many terms they have.

Monomial: a polynomial with one term.

Binomial: a polynomial with two terms.

Trinomial: a polynomial with three terms.

DEGREE

Degree of a Monomial – the sum of all the exponents.

Degree of a Polynomial – the highest degree term.

Expression Name Degree

2x9

10y – 7y2

5x3y2z

2x2 + 5x – 2

5.1.2 ADDITION OF POLYNOMIALS

“combine like terms”

Like terms have exactly the same variables with the same powers.

Examples:

5.1.3 SUBTRACTION OF POLYNOMIALS

KEY: Distribute the negative

In other words, add the opposite

Example, what is the opposite of each polynomial?

SUBTRACT THE POLYNOMIALS

SUBTRACTING FROM

Subtract 7 from 10.

Subtract 12 from 4.

5.1.4 POLYNOMIAL FUNCTIONS

A function defined by a polynomial

YES NO

EVALUATING POLYNOMIAL

FUNCTIONS

NEW HOMEWORK POLICY

Everyday we do a new section, a few problems will be assigned. Each week (on any day) we will randomly pick one or two assignments to grade. Make sure to show your work and circle your final answer.

Your assignment for 5.1

Pg. 316 – 318 #18, 34, 66, 72, 76, 80