Factoring trinomials is pretty easy, and there are a few different approaches possible. The main two today are simple factoring and difference of squares. Always make sure to check if it’ll Factor 1, 2, 3.
- Scan through all terms in the trinomial to identify if there’s a common factor.
If one exists, factor it out. - Identify the Type of Trinomial:
Determine whether the trinomial fits the criteria of a quadratic trinomial, a perfect square trinomial, or another type. - Quadratic Trinomials (ax² + bx + c):
For quadratic trinomials, attempt factoring using either the AC method or grouping:
Find two numbers whose product equals the product of the leading coefficient (a) and the constant term (c), and whose sum equals the middle coefficient (b). - Express the middle term using these two numbers.
- Difference of Squares:
For expressions in the form of a difference of squares (a² – b²), factor them into (a + b)(a – b).
Overall, there are quite a few different options available for us to use, and as long as you get to the right answer, it doesn’t make to big of a difference.