Guidelines for Factoring Completely

1)    FACTOR OUT THE (POS/NEG) GREATEST MONOMIAL FACTOR FIRST.

2)    LOOK FOR DIFFERENCE OF 2 SQUARES.

3)    LOOK FOR PERFECT TRINOMIAL SQUARES

4)    IF NOT A TRINOMIAL SQUARE , LOOK FOR A PAIR OF BINOMIAL FACTORS.

5)    IF A POLYNOMIAL HAS FOUR OR MORE TERMS, LOOK FOR AWAY TO GROUP THE TERMS IN PAIRS OR IN A GROUP OF THREE TERMS IN THAT IS A PERFECT TRINOMIAL SQUARES.

6)    MAKE SURE THAT EACH BINOMIAL OR TRINOMIAL FACTOR IS PRIME.

7)   CHECK YOUR WORK.