What are polynomials and how do we classify them?

• Polynomial is an algebraic expression with terms separated using the operators + and - in which the exponents of variables are always non-negative integers.

• Polynomials are categorized according to the number of terms and the degree present.

Need some practice?

• GeoGebra activity on classifying polynomials

How do we add/subtract polynomials?

Adding polynomials only takes two steps by:

1. Placing like terms together

2. Add the like terms

Subtracting polynomials is similar to adding polynomials, with the only change being reverse the sign of each term we are subtracting, then add as usual.

Need some practice?

• Quizizz activity adding/subtracting polynomials

• Blooket activity for practice

How do we multiply monomials by polynomials?

To multiply a polynomial by a monomial, use the distributive property: multiply each term of the polynomial by the monomial. This involves multiplying coefficients and adding exponents of the appropriate variables.

Need some practice?

• Edpuzzle activity on multiplying polynomials

• Quizizz activity for practice

What does F-O-I-L mean?

"A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial. Then Outer means multiply the outermost terms in the product."

Need some practice?

• GeoGebra activity on Algebra Tiles on FOIL

• Quizizz activity for practice

What is factoring?

Let’s start out by talking a little bit about just what factoring is. Factoring is the process by which we go about determining what we multiplied to get the given quantity. We do this all the time with numbers. There are several ways to factor polynomials, they include:

1. Greatest Common Factor (GCF)

2. Difference of Squares

3. Perfect Square Trinomials

4. Trinomials with a = 1

5. LeRoux Method (trinomials with a≠1)

6. Grouping Method

Need some practice?

• Blooket for practice on GCF of polynomials

• Blooket for practice on difference of squares

• Edpuzzle for perfect square trinomials

• Kahoot! for factoring trinomials

• Edpuzzle for practice on LeRoux method

• Edpuzzle for practice on grouping