When factoring polynomials, we can use a system:
Difference of squares (2 terms)
Pattern ( x #) (3 terms)
or for an easy jingle, Can Divers Pee Easily Underwater.
using these steps we can factor each type of polynomial to its simplest form.
3y(y+2) – 9(y+2)
because this polynomial has a common factor, y+2, we can substitute it for an unknown variable such as “a”
3ya – 9a
doesn’t that look better?
now we can use the D to find the difference of squares because there’s 2 terms. If there are more than two terms you can skip the D and go right to P.
3a is common on both terms so we simplify polynomial to
now we substitute our y+2 back for “a”.
and you’re done! this polynomial cannot be simplified farther.
For a polynomial with 3 terms, you will not use the D, but skip right to P depending on whether you have or will decide if you use the E or the U.