Distributive Property Multiply across Parentheses 3(x + 4) = 3(x) + 3(4) 3x + 12 3x + 12 Think of it as looking to DISTRIBUTE something DISTRIBUTE Remember.

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Presentation transcript:

Distributive Property Multiply across Parentheses 3(x + 4) = 3(x) + 3(4) 3x x + 12 Think of it as looking to DISTRIBUTE something DISTRIBUTE Remember This???

Evaluate A. 3(x + 7) B. a(a + b) C. 10(x + 2y - z) A). 3(x) + 3(7) 3x + 21 B). a(a) + a(b) a² + ab a² + ab C). 10(x) + 10(2y) - 10(z) 10x + 20y - 10z

Objective  SWBAT multiply polynomials

Section 9.2 “Multiply Polynomials” When multiplying polynomials use the distributive property. Distribute and multiply each term of the polynomials. Then simplify. 2x³ (x³ + 3x² - 2x + 5)

3c³ (8c³ - c² - 3c + 5) Try It Out…

“Multiply Using FOIL” When multiplying a binomial and another polynomial use the method. FOILFOIL FirstOuterInnerLast

(x – 4) (3x + 2) “Multiply Using FOIL” combine like terms

(3a + 4) (a – 2) “Multiply Using FOIL” combine like terms

(4x – 5) (2x² + 5x – 1) combine like terms The Product of a Binomial and Trinomial…

(b – 2) (b² - b + 1) Try It Out… combine like terms

Simplifying Polynomials in Geometry  What is the area of the blue region? 3x – 2 2x FOIL (3x – 2)(2x + 1) 6x² – x – 2 4 x 10 = 40 6x² – x – 2 – 40 =6x² – x – 42

Homework Text p. 565, #4-48 multiples of 4, & #50 Text p. 565, #4-48 multiples of 4, & #50