Factoring Trinomials Using the “AC” Method - MyBates
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Factoring Trinomials Using the "AC" Method
The "AC" Method (Factoring Trinomials)
The "AC" method or factoring by grouping is a technique used to factor trinomials. A trinomial is a mathematical expression that consists of three terms (ax? + bx + c).
Example of "AC" method:
a b c 1. 6x? + 7x + 2
2. a(c) = __ 6(2) =12
b = __ b = 7
3. 12 = 12(1) 12 = 6(2) 12 = 4(3)
12 + 1 7 6 + 2 7 4 + 3 = 7
First, find the product of a and c.
A. List all the products that equal (a ? c). B. Check to see if numbers listed
equal b, when added.
4. 6x? + 3x + 4x + 2
5. (6x? + 3x) + (4x+2) 3x(2x + 1) + 2(2x + 1)
6. (3x + 2)(2x+1)
Rewrite trinomial with new numbers taking the middle term's place. 7x is now 3x + 4x.
Isolate similar terms and factor out the greatest common factor (GCF).
Factor out 2x + 1 and rewrite.
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