1. X-box Factoring

2. X- Box 3-9 Product Sum

3. X-box Factoring This is a guaranteed method for factoring quadratic equations—no guessing necessary! We will learn how to factor quadratic equations using the x-box method Background knowledge needed: –Basic x-solve problems –General form of a quadratic equation –Dividing a polynomial by a monomial using the box method

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

5. Factor the x-box way Middle b=m+n Sum Product ac=mn m n First and Last Coefficients y = ax 2 + bx + c Last term 1st Term Factor n Factor m Base 1Base 2 GCF Height

6. 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)

7. 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