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Free Printable Math Worksheets at DadsWorksheets.com Factoring a Quadratic Trinomial by Grouping Another method for factoring these kinds of quadratic trinomials is called factoring by grouping. Factoring by grouping can be a bit more tedious, and is often not worth the trouble if you can find the correct factors by some quick trial and error. However, it works quite well when the factors are not immediately obvious, such as when you have a very large number of candidate factors. When this happens, the trial and error method becomes very tedious Factoring by grouping is best demonstrated with a few examples. Example: The Procedure Given a general quadratic trinomial ax2 + bx + c 1. 2. hk = ac (h and k are factors of the product of the coefficient of x2 and the constant term) h + k = b (h and k add to give the coefficient of x) 3. ax2 + hx + kx + c 4. (ax2 + hx) + (kx + c) x(ax + h) + (kx + c) (note: because of the way you chose h and k, you will be able to factor a constant out of the second parentheses, leaving you with two identical expressions in parentheses as in the examples).