1. Algebra 2 Ch.5 Notes Page 33 P 33 5-4 Factoring Quadratic Expressions (Part 1)

2. Factoring - (Opposite of Distributing) Rewriting an expression as the product of its factors. Numbers are factors if the first divides evenly into the second. Greatest Common Factors 4x 2 + 20x -12 9n 2 - 24n

3. Find Positive Factors ax 2 + bx + c Find two numbers that Add to b and Multiply to ac Find Negative Factors 1x 2 + 6x + 8 1x 2 - 7x + 12 2 and 4 -3 and -4

4. ax 2 + bx + c Find two numbers that Add to b and Multiply to ac x 2 - x - 12 = x 2 + -x + -12 ac = -12 b = -1 (x + 3)( x - 4)

5. Factoring a ≠1 ax 2 + bx + c Find two numbers that Add to b and Multiply to ac 2x 2 - 11x + 15 2x 2 + x - 28 Since ac = Positive and b = Negative Find two Negatives that add to b Since ac = Negatvie and b = Positive Find Pos/Neg that add to b ac -1 x -30 -2 x -15 -3 x -10 -5 x -6 ac -1 x 56 -2 x 28 -4 x 14 -7 x 8 Factor Rewrite b as... 2x 2 + -5x + -6x + 15 Rewrite b as... 2x 2 + -7x + 8x + -28

6. Difference of Squares a 2 - b 2 = (a + b)(a - b) 9x 2 - 16 49x 2 - 9

7. Perfect Square Trinomials a 2 + 2ab + b 2 = (a + b) 2 a 2 - 2ab + b 2 = (a - b) 2 4x 2 +12x + 9 9x 2 - 42x + 49 (2x + 3)(2x + 3) (2x + 3) 2 (3x - 7)(3x - 7) (3x - 7) 2 2x 3 2(2x x 3) = 12x 2(3x x 7) = 42x 3x 7

8. HW #32 5 -4 P263 #1,3,5,7,8,13,14,19,20,25,26,31,32,40,41,43,45 Pl ease put your name and class period at the top of the homework. Also include the homework number.