This app is designed a tool for students to check their work of factorable trinomials. If the Factored Form is not a product of factors, it will display as a trinomial.[br]The algorithm does not factor all factorable trinomials, Ex: [math]5x^{2^{_{_{_{_{_{_{ }}}}}}}}-3x+8=\left(5x-8\right)\left(x+1\right)[/math][br]Factor this quadratic expression:  [math]5x^{2^{_{_{_{_{_{_{ }}}}}}}}-3x+8[/math][br]a = 5, b = -3, c = 8;  a•c = 5•8 or 40[br]The factors of 40 are {[color=#0000ff][b]1[/b][/color], [b]2[/b], [b][color=#a64d79]4[/color][/b], [i][color=#ff0000][b]5[/b][/color][/i], [i][b][color=#ff0000]8[/color][/b][/i], [b][color=#a64d79]10[/color][/b], [b]20[/b], [color=#0000ff][b]40[/b][/color]}. Only factors of the same color can be checked.[br]The factors of 40 whose sum or difference is -3 (5 - 8)[br]Hence, the factorable expression is [math]5x^{2^{_{_{_{_{_{_{ }}}}}}}}+5x-8x+8[/math].[br][br]5 + (-8) = -3 shows that there is factorable form, 5:(-8) yields (5x – 8) and 5:5 = 1:1 yields (x - 1) [br]We use a = 5 as the numerator and each factor of [b]-40 = [b](-8)[/b]•[b]5[/b][/b] as a denominator gives factored form:[br](5x – 8)(x - 1).

Source: [url=http://www.geogebratube.org/student/m70036]by Omar G. Monteagudo (GGT)[/url]