1. By: Megan Zabarsky, Claudia Demianczuk and Julie Coker
Factoring AC Method
By: Megan Zabarsky, Claudia Demianczuk and Julie Coker

2. Vocabulary Factoring: finding what to multiply to get an expression
Temporary Values: the numbers that add to the B coefficient and multiply to AC
AC Method: used to factor polynomials in standard form (ax2 + bx + c), the coefficients are a, b and c and x is the variable

3. AC Method Steps

4. Example Problems 3x2 + 4x -4 Determine AC: -12
Find M and N: m = -2; n = 6
Rewrite it as: (3x+6)(3x-2)
Divide by 3: (x+2)(3x-2)
If you are unable to divide the coefficient it remains in the equation
Set equations equal to 0 and solve
If x+2 = 0 then x= -2
If 3x-2 = 0 then x = 2/3

5. Examples cont. 1. Find AC = 20 1. AC = 10
2x2 + 9x x2 + 11x + 5
1. Find AC = AC = 10
2. Find M = 4 N = M = 10 N= 1
3. (2x+4)(2x+5) 3. (2x+10) (2x+1)
4. (x+2)(2x+5) 4. (x+5)(2x+1)
5. x+2 = 0 and 2x+5 = x+5 = 0 and 2x+1 = 0
6. x = -2 and x = -2 and -1/2

6. Examples cont. 6x2+7x+ 2 AC = 12 M = 4 N = 3
Rewrite it as: (6x+4)(6x+3)
Divide by 6: (6x+4)(x+1/2)
Set equations equal to 0
If 6x+4 = 0 then x = -2/3
If x+1/2 = 0 then x = -1/2