 # X-box Factoring. Step 1: Set up X- Box Factor ax 2 + bx + c Product a  c Sum b.

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X-box Factoring

Step 1: Set up X- Box Factor ax 2 + bx + c Product a  c Sum b

Step 1: Set up X- Box Example: Factor x 2 + 5x + 6 Product (a  c) (1)(6)= 6  Sum (b) 5

Step 2: Fill in sides with numbers that when multiplied equal top and added equal bottom. Product a  c = m  n Sum b = m + n m n

Step 2: Fill in sides with numbers that when multiplied equal top and added equal bottom. Example: Factor x 2 + 5x + 6 6 (2)(3)= 6  5 2 + 3 = 5 3 2

Factor the x-box way Example: Factor x 2 + 5x + 6 5 (1)(6)= 6 23 Last Term 6 Factor m 2x Factor n 3x First Term x 2 x+2 x +3 x 2 +5x + 6 = (x+2)(x+3)

Examples Factor using the x-box method. 1. x 2 + 4x – 12 a) b) x -12 4 6 -2 x 2 6x -2x -12 x -2 +6 Solution: x 2 + 4x – 12 = (x + 6)(x - 2)

Examples continued 2. x 2 - 9x + 20 a) b) 20 -9 x 2 -4x -5x 20 x x -4 -5 Solution: x 2 - 9x + 20 = (x - 4)(x - 5 ) -4 -5

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