Polynomials & Factoring

Interpret the structure of expressions * Use polynomial identities to solve problems * Perform arithmetic operations on polynomials * Write expressions in equivalent forms to solve problems * Understand solving equations as a process of reasoning and explain the reasoning.

Topics

The following concepts are potential topics in Polynomials and Factoring:
- Introduction to Polynomials: Classify, Add, Subtract
- Multiplying a Monomial and a Polynomial
- Multiplying Binomials and Trinomials
- Dividing Polynomials by a Monomial
- Factoring Polynomials: GCF
- Factoring Polynomials: Difference of Squares
- Factoring Polynomials: Trinomials
- Factoring Polynomials: Grouping

Prerequisites

Finding factors of composite numbers
Simplifying expressions
Multiplying expressions with exponents
Dividing expressions with exponents

Goals

Classify polynomials by the number of terms and degree
Write polynomials in standard form
Add and subtract polynomials
Multiply polynomials
Factor polynomials using the greatest common factor
Factor polynomials using the splitting the middle term method on all trinomials, the difference of two squares and grouping
Factor polynomials of greater degree completely with additional factoring embedded. (Ex Factoring by grouping then recognize a difference of two squares)
Factor expressions that contain more than one variable