Objective SWBAT use special product patterns to multiply polynomials

First Outer Inner Last “Multiply Using FOIL” When multiplying a binomial and another polynomial use the method. FOIL First Outer Inner Last

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

Section 9.3 “Find Special Products of Polynomials” When squaring binomials, you can use the following patterns to help you. Binomial Square Pattern (addition) (a + b)² a² + 2ab + b² (a + b)(a + b) (x + 5)² x² + 10x + 25 (x + 5)(x + 5)

Section 9.3 “Find Special Products of Polynomials” When squaring binomials, you can use the following patterns below to help you. Binomial Square Pattern (subtraction) (a – b)² a² – 2ab + b² (a – b)(a – b) (2x – 4)² 4x² – 16x + 16 (2x – 4)(2x – 4)

“Using the Binomial Square Patterns and FOIL” combine like terms

“Using the Binomial Square Patterns and FOIL” (5x – 2y)² (5x – 2y) (5x – 2y) square pattern combine like terms

Sum and Difference Pattern (a + b) (a – b) a² – b² (a + b) (a – b) “The difference of two squares” combine like terms

Sum and Difference Pattern (x + 3) (x – 3) x² – 9 combine like terms “The difference of two squares”

Word Problem (2x +20)(2x + 22) 4x² + 40x + 44x + 440 4x² + 84x + 440 You are designing a frame to surround a rectangular picture. The width of the frame around the picture is the same on every side. The dimensions of the picture are shown below 22in. by 20in. Write a polynomial that represents the total area of the picture and the frame. x (2x +20)(2x + 22) 22 in. FOIL 20in x x 4x² + 40x + 44x + 440 4x² + 84x + 440 x