Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
8-2 Multiplying Polynomials GOAL: MULTIPLY TWO POLYNOMIALS TOGETHER USING THE DISTRIBUTIVE PROPERTY ELIGIBLE CONTENT: A1.1.1.5.1 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 3x (4 x 6 x 10) 2 2 12x 18x 3 30x 2 4 Examples 1. 4 x(3x 8 x 2) 12 x 32 x 8 x 2. 2 x (4 x 9 x 7) 8 x 18 x 14 x 2 2 2 3 4 2 3 2 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. (2 x 4)( 4 x 3x 8) 2 2 x 4 x 2 2x 3x 2 x 8 4 4 x 2 4 3x 4 8 8x 3 6x 2 16x 16x 2 12 x 32 8x 10x 4x 32 3 2 Vocabulary Box Method – a method used to multiply polynomials. The Box Method (2 x 8)(3x 2 x 7) 2 3x 2x 2 4x 3 2x 6x 8 24x 2 16x 2 6x 28x 2x 56 3 2 7 14 x 56 Examples 1. 3x 2 4 x 9 x 7 2 2 2 x 5 4 x 3x 1 2. 12 x 19 x 3x 14 3 2 8 x 26 x 13x 5 3 2 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 1. 2p(-4p2 + 5p) – 5(2p2 + 20) -8p3 – 100 2. 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