If you do not know a technique then the one that follows may be considered. If you already know a method to factor these polynomials and are good at it then continue to use that technique. The amount of work required to factor these trinomials is why we call them "Hard Trinomials" The best technique is the one you know and are good at. Each of these techniques require 3 or 4 written steps. A search of the internet and u tube will reveal many methods. A x 2 + Bx + C where A > 1 Examples of Hard Trinomials 6x 2 25x + 4 5x 2 16x x 2 + x 6 15x 2 x 6 Students are taught many different techniques to factor Hard Trinomials: Factoring by Grouping, The AC method, trying all the possible factors FOIL, The Box Method, and many others. For this reason we call these type of trinomials "Easy Trinomials" as in "easy to factor." Hard Trinomials: Hard Trinomials have a first term of Ax 2 where A > 1.
The factoring technique used in that section did not require multiple steps and many students develop their skills to the level where they can factor these trinomials in their head. These trinomials looked like 1x 2 ± bx ± c. 1 Section 4 6B: Factoring Trinomials of the Form A x 2 + Bx + C where A > 1 by The AC and Factor By Grouping Method Easy Trinomials: 1 x 2 + Bx + C The last section covered the topic of factoring second degree trinomials that had 1x 2 as the first term.
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