Multiply. 1) (x 2 – 4)(x + 3) 2) (2x – 5y)(x + 2y) 3) (3p – 2q) 2 4) (x + 2)(x – 2)(x – 3)

Objective: Students will be able to demonstrate their understanding of factoring special cases by 1) correctly solving at least 6 of the 10 “you try” problems, 2) scoring at least a 2 on their exit slip, and 3) writing a letter to a sick classmate.

Standard 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials.

VOCABULARY/RULES 1. Perfect square – the product of a number and itself. Ex: 225 is a perfect square because it is the product of 15 × Perfect Square Trinomial – a trinomial which when factored has the form: (a + b) 2 = (a + b)(a + b) or (a – b) 2 = (a – b)(a – b). a) Is the first term a perfect square? b) Is the last term a perfect square? c) Is the middle term twice the product of the first and last term? 3. Difference of Squares – two perfect squares separated by a subtraction sign. a 2 – b 2 = (a +b)(a – b)

Factor x x + 25

Factor x 2 – 25

Subtracting Polynomials Factor 1. 4x 2 - 4x x 2 – 12x x 2 + 2x x x x 2 – 14x x x x 2 – – x x 2 – 100

Subtracting Polynomials Factor 1. x x x x 2 - 6x x

Olivia is sick with flu but does not want to fall behind on today’s lecture. Task: Write Olivia a letter and explain how to factor the following problems: 4x 2 – 49 and 9x x + 4. Provide her with all the information to be successful on her homework. (YOU MAY NOT USE YOUR NOTES OR TALK TO YOUR PARTNER!)