Review Factor the trinomial 3x2 + 11x - 4 Solve the equation by factoring. 3x2 + 9x – 12 = 0
10.7 Factoring Special Products
Special products Difference of two squares pattern: a2-b2 = (a+b)(a-b) 9x2 – 16 =(3x+4)(3x-4) m2 – 4 (m+2)(m-2) 4p2 – 25 (2p + 5)(2p – 5) 50 – 98x2 2(25 – 49x2) (5 + 7x)(5 – 7x)
Perfect Square Trinomial Patterns a2 + 2ab + b2 = (a+b)2 Ex: x2 + 8x + 16 = (x+4)2 16y2 + 24y + 9 (4y + 3)2 a2 – 2ab + b2 = (a-b)2 Ex: x2 – 12x + 36 = (x - 6)2 3x2 – 30x + 75 3(x2 – 10x + 25) 3(x – 5)2
Factor the expression - t x2 – 25 x2 - 49 4x2 – 9 x2 – y2
Factor the expression - st 25x2 – 16 9x2 - 16 16 – x2 200x2 – 18
Factor the expression - t x2 +10x + 25 x2 – 18x + 81 4x2 + 4x + 1 x2 – 2xy + y2
Factor the expression - st 4x2 +28x + 49 25x2 – 20x + 4 20x2 + 60x + 45 9x2 – 24xy + 16y2
Solve the equation. Use graphing calculator to check -2x2 + 12x – 18 = 0 2x2 – 18 = 0
Solve the equation. Use graphing calculator to check x2 – 18x + 81= 0 4x2 + 4x + 1
Wrap up Questions / Comments ic: hw Hw: text pg. 622, #’s: 18 – 38 evens, 41, 42, 52, 56