The general form of trinomials with a leading coefficient of a is ax2+bx+cax2+bx+c. Sometimes the factor of a can be factored as you saw above; this happens when a can be factored out of all three terms. The remaining trinomial that still needs factoring will then be simpler, with ...
Now we will actually get to the work of starting with a three term polynomial, and rewriting it as a four term polynomial so it can be factored.We will start with factoring trinomials of the form x2+bx+cx2+bx+c that don’t have a coefficient in front of the x2x2 term....