Quadratic trinomials, a challenge to face,
When a, b, and c aren’t in their usual place.
AC factoring, a method so clever,
To solve these puzzles with minimal endeavor.
First, multiply a and c with care,
Their product holds secrets we’ll soon declare.
Find two numbers that multiply just so,
And add up to b, now watch them grow.
Rewrite the middle, split it in two,
With these new numbers, fresh and new.
Group the terms, four in a row,
Common factors will soon show.
Factor each pair, GCF in sight,
A common binomial emerges, oh so right.
Pull it out front, with grace and ease,
The factored expression will surely please.
AC factoring, a tool so fine,
For quadratics that aren’t quite divine.
With practice and patience, you’ll soon see,
How elegant this method can truly be.
Clark Vangilder's Cognitions 