8-2 Multiplying Polynomials

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Presentation transcript:

8-2 Multiplying Polynomials Goal: Multiply two Polynomials together Using the distributive Property Eligible Content: A1.1.1.5.1

You ADD the exponents! Vocabulary Distributive Property – multiplying the term outside the parentheses by every term inside the parentheses. When you multiply variables together: You ADD the exponents!

Monomial times Polynomial

Examples

Find 3x(2x2 + 3x + 5). A. 6x2 + 9x + 15 B. 6x3 + 9x2 + 15x C. 5x3 + 6x2 + 8x D. 6x2 + 3x + 5

Binomial times Polynomial Distribute each term of the binomial.

Vocabulary Box Method – a method used to multiply polynomials.

The Box Method

Examples

Find (3z + 2)(4z2 + 3z + 5). A. 12z3 + 9z2 + 15z B. 8z2 + 6z + 10 C. 12z3 + z2 + 9z + 10 D. 12z3 + 17z2 + 21z + 10

Practice Worksheet – “8-2 Multiplying Polynomials”

Simplifying Expressions 2p(-4p2 + 5p) – 5(2p2 + 20) -8p3 – 100 3(5x2 + 2x – 4) – x(7x2 + 2x – 3) -7x3 + 13x2 + 9x – 12

Simplify 5(4y2 + 5y – 2) + 2y(4y + 3). A. 4y2 + 9y + 1 B. 8y2 + 5y – 6 C. 20y2 + 9y + 6 D. 28y2 + 31y – 10

Homework Page 475 #18-28 even Page 483 #8, 9, 25, 26