Quiz 5-2 1. Use Synthetic Substitution to evaluate: 3.What is the “end behavior” for: 2. Simplify When x = 2 In other words:

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Presentation transcript:

Quiz Use Synthetic Substitution to evaluate: 3.What is the “end behavior” for: 2. Simplify When x = 2 In other words:

Quiz Simplify 3. Simplify: 2. Simplify

Section 5-3 Add, subtract, multiply Polynomials

“Like” Terms Which of these terms (if any) are “like” terms? Simplify (add, subtract, multiply, divide)

Your Turn: simplify 1. 2.

Multiplying Polynomials (x + 3)(2x – 1) = ? key concept Each term inside one set of parentheses is multiplied by every term inside the other parentheses.

Your Turn: Multiply

Multiplying Polynomials How do you multiply 2 * 3 * 4 three numbers? three numbers? 6 * 4 = 24 OR: 2 * 3 * * = 24 OR: 2 * 3 * 4 8 * 3 = 24 Pick 2 factors, multiply them to get a product, then multiply the product by the then multiply the product by the last factor (associative property). last factor (associative property).

Multiplying Polynomials (x – 1)(2x + 3)(3x – 2) = ? = [ (x – 1)(2x + 3) ] (3x – 2) How do you multiply three binomials? Pick 2 factors, multiply them to get a product, then multiply the product by the last factor  associative property. multiply the product by the last factor  associative property.

Multiplying Polynomials How do you multiply these? Remember “long” multiplication?

Multiplying Polynomials How do you multiply these? Align “like terms” in a vertical line so it is easier to add them together. so it is easier to add them together. (x – 1)(2x + 3)(3x – 2) = ?

Your Turn: Simplify ( Multiply the Binomials and combine like terms) 6. 7.

Your turn: 8. Simplify 9. Simplify 10. Simplify

Special Products Square of a sum. (x + y)(x + y)

Special Products Square of a sum. (x + y)(x + y)

Special Products Square of a difference. (x - y)(x - y)

Special Products Square of a difference. (x - y)(x - y)

Special Products Product of a sum and a difference. (x + y)(x – y) xy - xy

Your Turn: Multiply

Special Products Cube of a sum.

Special Products Cube of a difference.

Your Turn: Multiply

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