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Many times students are taught that to factor a non-monic trinomials, they must guess different combinations of m,n,p,and q and then [[FOIL]] the factors to see if they had guessed correctly. There is a method of factoring that, while not often taught, will work.<br />
Example: Factor <math>6x^2+7x-3</math>
====Step 1====
Multiply '''a''' and '''c'''. (Multiply the number in front of <math>x^2</math> and the [[constant term|constant]])<br /> Multipy 6 and -3, <math>6(-3)=-18</math>
====Step 2====
Find factors of '''ac'''. Find factors of -18 which gives the combinations: -1(18), 1(-18), -2(9), 2(-9), -3(6), and 3(-6).
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