6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 Example 1a Example 1aSimplify.

6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 Example 1b Example 1bSimplify.

Example 2a Example 2aSimplify. 6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0

Example 2b Example 2bSimplify. 6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0

FirstOutsideInsideLast Multiplying polynomials using FOIL. 6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0

x + 2 x2x2 + 9x+ 7 × x3x3 9x29x2 7x7x 2x22x2 18x Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 Example 3/4 Example 3/4Multiplying Polynomials.

First, use FOIL on any two factors. Next, use the “box” or your favorite multiplying method. x + 7 2x22x2 −14x+ 24 × 2x32x3 −14x 2 24x 14x 2 −98x Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 Example 5 Example 5Multiplying Three Binomials.

Notice the Pattern 6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 Example 6a Example 6aMultiplying Special Products. Difference of Two Squares

Notice the Pattern 6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 Example 6b Example 6bMultiplying Special Products. Square of a Binomial

Notice the Pattern  6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 Example 6c Example 6cMultiplying Special Products. Square of a Binomial

From 1990 to 1996, the number of students S enrolled in college can be modeled by S = x 2 – 1417x + 26,628. And, the average number of units U carried is modeled by U = 0.25x + 15, where x is the number of years since Write a model for the total number of units T carried by students x years after Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 The total number of credits carried by students is the number of students multiplied by the average number of units. Or, T = S × U Which is, T = (134.56x 2 – 1417x + 26,628) × (0.25x + 15) In this lesson, you will learn how to add, subtract, and multiply polynomials.

Multiplying the cube of a polynomial. 