I. Prefixes MONO = BI = TRI = POLY = NOMIAL means

Monomial: an algebraic expression with one term. It can be a CONSTANT, a VARIABLE or the PRODUCT of a constant and a variable or the product of variables. The variables are taken to powers higher than 0.

Example – Circle the terms that are monomials. NOT A PRODUCT!!!

A is a term or a sum or difference of terms. A polynomial with two terms is a. Ex. A polynomial with three terms is a. Ex.

The of a monomial is the sum of the exponents of its variables. The degree of a nonzero constant is. Zero has degree.

Example – What is the degree of the following monomials. 1.)2.) 3.) 4.) 5.)

Like Terms are two or more terms that contain the same taken to the same. Adding and Subtracting Monomials:

Underline the like terms in the given polynomial and then simplify: 1) 3x + 6 − x 2 + 2x 2) 2yx + 3yx − yx 3) -4zx 2 − 4zx − 4zx 3 NO LIKE TERMS!

A polynomial is a or the of monomials. Polynomials are written in, with the degrees of the monomial terms from left to right. Ex. The degree of a polynomial is determined by the with the highest degree. Polynomials can be named by its and the of terms it has.

PolynomialDegreeName Using Degrees Number of Terms Name Using Number of Terms 8

Examples: Write the following polynomials in standard form. Name the polynomial by degree and by number of terms 1.) 2.) 3.)

Subtracting Polynomials: Subtraction means to the. Rule for Subtraction: Distribute the. Ex. Simplify:

Examples: Write the following polynomials in standard form. Name the polynomial by degree and by number of terms 1.) 2.)

Homework : Section 8.1pages #’s 8-36 even