Xbox Factoring Quadratics February 5 2016 Factor the

X-box Factoring Quadratics February 5, 2016

Factor the x-box way y = ax 2 + bx + c First and Last Coefficients x Product ac p q Middle b= p + q Sum q x 1 st Term Factor q p Factor p Last term

Factor the x-box way Example: Factor 3 x 2 -13 x -10 (3)(-10)= -30 2 -15 x -5 3 x 3 x 2 -15 x +2 2 x -10 -13 3 x 2 -13 x -10 = (x-5)(3 x+2)

Factor the x-box way Example: Factor 2 x 2 + 11 x + 5 (2)(5) = x 10 10 1 11 5 2 x 2 x 2 10 x 1 x 5 2 x 2 + 11 x + 5 = (2 x + 1)(x +5)

Factor the x-box way Example: Factor 5 w 2 – 9 w -2 (5)(-2) = w -10 1 -9 5 w 1 -2 5 w 2 -10 x w -2 5 w 2 – 9 w -2 = (5 w+1)(w-2)

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

Examples continued 2 x 2 + 19 -10 X -20 20 -1 19 2 x -1 10 x 2 20 x -1 x 10 Solution: 2 x 2 + 19 -10 = (2 x-1)(x+10)

Think-Pair-Share 1. Based on the problems we’ve done, list the steps in the diamond/box factoring method so that you could teach someone else can do a problem. 2. Trade papers with your partner and use their steps to factor the following problem: 3 b 2 + 26 b +35

Trying out the Steps 3. If you cannot complete the problem using only the steps written, put an arrow on the step where you stopped. Give your partner’s paper back to him. 4. Modify the steps you wrote to correct any incomplete or incorrect steps. Finish the problem based on your new steps and give the steps back to your partner. 5. Try using the steps again to factor: 3 x 2 - 17 x -6.