Module+9

﻿ Module 9 - Polynomials

 Students will build on their knowledge of power functions. A polynomial will be defined as a sum of power functions. Terminology including monomial, binomial, trinomial, degree of a polynomial will be introduced. Students will create and analyze graphs of polynomial functions paying special attention to x- and y-intercepts.
 * Beginning - Introducing Polynomials **

**Operations with Polynomial Functions **
 * Addition and Subtraction **  Adding and subtracting polynomials will be presented as a review of adding like terms. Function notation will be used.


 * Multiplication **

Students will begin with a review of the distributive property but polynomial terminology will be applied. Students will then learn how to multiply binomials, trinomials, and larger degree polynomials using first a rectangular array and then the distributive property.


 * Solving Polynomial Equations **

Students will be introduced to solving polynomial equations by finding the x-intercepts of a polynomial function. Students will begin by looking at graphs to determine the x-intercepts. Then students will move on to looking at polynomials in factored form. Students will apply the multiplication property of zero to determine solutions of polynomial equations.


 * Factoring and Solving Polynomial Equations **

Knowing that it is easy to find the roots of a polynomial function in factored form, students can see the point of factoring. In each unit, students will practice factoring and also solving polynomial equations.
 * <span style="background-color: #ffffff; color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 14pt; font-style: normal; list-style-type: disc; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt; vertical-align: baseline;">Greatest Common Factor **


 * <span style="background-color: #ffffff; color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 14pt; font-style: normal; list-style-type: disc; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt; vertical-align: baseline;">Grouping **


 * <span style="background-color: #ffffff; color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 14pt; font-style: normal; list-style-type: disc; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt; vertical-align: baseline;">Difference of Two Squares **


 * <span style="background-color: #ffffff; color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 14pt; font-style: normal; list-style-type: disc; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt; vertical-align: baseline;">Trinomials with Leading Coefficient 1 **


 * <span style="background-color: #ffffff; color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 14pt; font-style: normal; list-style-type: disc; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt; vertical-align: baseline;">Perfect Square Trinomials **


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 * <span style="background-color: #ffffff; color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 14pt; font-style: normal; list-style-type: disc; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt; vertical-align: baseline;">Trinomials **


 * <span style="background-color: #ffffff; color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 14pt; font-style: normal; list-style-type: disc; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt; vertical-align: baseline;">Sum or Difference of Two Cubes **


 * <span style="background-color: #ffffff; color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 14pt; font-style: normal; list-style-type: disc; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt; vertical-align: baseline;">Mixed Factoring Practice **