To factor an expression of the form ax^2 + bx + c: 1) Write the expression in the form ax^2 + bx + c and identify a, b, and c. 2) Multiply a and c to find ac and find the greatest common factor of a and c. 3) Find a pair of numbers that multiply to ac and add to b. 4) Write the factored expression by grouping the terms with the numbers found in step 3.

1. How to Factor ax 2 + bx + c Pick an example problem to use, and delete the others: 12x 2 + 23x + 5

2. 12x 2 + 23x + 5 Step 1. First you are suppose to organize all of your numbers into A, B, and C like this: 12x 2 +23x +5 a b c

3. Step 2: Then your suppose to multiply a and c together, then find he greatest common factor from a and c(ac) 12x 2 +23x +5 a b c Ex:ac=12x5=60 B=23

4. Step 3: the you’re suppose to find the GCF to 60vand find a pair that adds up to 23. 12x 2 +23x +5 a b c Ex: ac=12x5=60 B=23 60, 1 20,3 30,2 15,4 12,5 10,6

5. Step 4: This is the final slide. When you find the answer that adds up to 23 your suppose to put them Into binomials, then finally solve them. 12x 2 +23x +5 (12x 2 + 20x+3x+5) a b c 4x(3x 1 +5)+1(3x+5) Ex: ac=12x5=60 (4x+1) (3x+5) B=23 60, 1 20,3 30,2 15,4 12,5 10,6