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

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

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

2 6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 Example 1b Example 1bSimplify.

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

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

5 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

6 x + 2 x2x2 + 9x+ 7 × x3x3 9x29x2 7x7x 2x22x2 18x14 6.3 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.

7 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 −98x168 6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 Example 5 Example 5Multiplying Three Binomials.

8 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

9 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

10 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

11 From 1990 to 1996, the number of students S enrolled in college can be modeled by S = 134.56x 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 1990. Write a model for the total number of units T carried by students x years after 1990. 6.3 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.

12 Multiplying the cube of a polynomial. 


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