Objective n SWBAT use special product patterns to

Objective n SWBAT use special product patterns to multiply polynomials

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

“Multiply Using FOIL” (x – 4) (3 x + 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 + 2 ab + b² (a + b) (x + 5)² (x + 5) x² + 10 x + 25

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 – 2 ab + b² (a – b) (2 x – 4)² (2 x – 4) 4 x² – 16 x + 16

“Using the Binomial Square Patterns and FOIL” (a + 4)² (a + 4) square pattern combine like terms

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

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

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

Word Problem n 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 22 in. by 20 in. Write a polynomial that represents the total area of the picture and the frame. x x (2 x +20)(2 x + 22) 22 in. 20 in FOIL x 4 x² + 40 x + 440 4 x² + 84 x + 440 x