How Do You Factor a Polynomial Using the A-C Method?

To start the A-C method we multiply the two coefficients A and C together
We must find the factors of 24, and then find the sum of each pair of factors
Multiplying two negative numbers together gives us a positive number, so each pair has a negative version
Factor our rewritten polynomial using grouping
Factor out the common factor (2x-1)
FOIL our answer to see if we get what we started with

1. GCF stands for greatest common factor
1. GCF stands for greatest common factor
2. Our three terms, 8x², -10x, and 3 do not share a GCF that we can factor out
1. There are two criteria for standard form:
2. 1) All like terms must be combined
3. 2) The degrees of each term must decrease from left to right
1. This is the first criterion for being in standard form
1. This is the second criterion for being in standard form
1. This is the second criterion for being in standard form
1. The first term is 8x²
2. The second term is -10x
3. The third term is 3
1. This is the beginning of the A-C method
2. A = 8
3. C = 3
1. A = 8
2. C = 3
1. Finding a sum means that we are just adding numbers together
1. Finding a sum means that we are just adding numbers together
1. B is equal to -10
1. We are going to replace -10x with -4x and -6x
1. 4x is a common factor of 8x² and -4x
1. 4x is a common factor of 8x² and -4x
1. -3 is a common factor of -6x and 3
1. We can FOIL our answer to see if it is correct
1. Our binomials are (2x-1) and (4x-3)
1. We are FOILing together (2x-1) and (4x-3)

Factor 8x2-10x+3 using the A-C method.