8.7 ­ Factoring Special Cases.notebook April 28, 2015 4/28: Warm Up Factor Completely: 1. x2 + 8x + 16 2. 3x2 ­ 21x + 30 3. 6x2 + 7x ­ 5 1 8.7 ­ Factoring Special Cases.notebook April 28, 2015 2 8.7 ­ Factoring Special Cases.notebook 8.7: Factoring Special Cases April 28, 2015 Date: 4/28 Recall: The square of a binomial Perfect-Square Trinomial How to recognize a perfect­square trinomial: 1. The first and last terms are ______________ ____________. 2. The middle term is _________ the product of one factor of from the first term and one factor from the last term. 3 8.7 ­ Factoring Special Cases.notebook April 28, 2015 Ex 1). Factor completely: a) x2 – 4x + 4 b) x2 + 6x + 9 c) x2 – 14x + 49 d) x2 + 10x + 25 4 8.7 ­ Factoring Special Cases.notebook April 28, 2015 Ex 2). Suppose the area of a square can be represented by the expression 9x2 + 24x + 16. What is an expression for the length of one side of a the square? 5 8.7 ­ Factoring Special Cases.notebook April 28, 2015 Recall: The product of a sum and a difference Difference of Two Perfect Squares How to recognize the difference of two perfect squares: 1. The first and last terms are ______________ ____________. 2. There are only _________ terms. 3. The two terms are being _________________. 6 8.7 ­ Factoring Special Cases.notebook April 28, 2015 Ex 3). Factor completely: a) x2 – 4 b) 49x2 – 36 c) 12x2 – 25 d) 12x2 – 3 e) 18x2 – 2 f) 432x2 – 147y2 7 8.7 ­ Factoring Special Cases.notebook April 28, 2015 Homework: pg. 526 #1 – 3, 10 – 38(e) 8 8.7 ­ Factoring Special Cases.notebook April 28, 2015 9