1. Factoring Trinomials using common factors

2. GCF? YES!! Remember – always check for GCF first!!
Factor out everything that ALL terms have in common.
In this case, all numbers are even so they have a 2 in common, and each term has at least 1 x.
Now, use the tic-tac-toe method on the trinomial.
This sign tells
you to Subtract
The factors.
This signs shows
The sign of the
Larger factor
Don’t forget to check yourself, multiply ACROSS (L to R) all rows and UP all columns to see if you get the correct products.
Now bring down your
GCF!!!

3. GCF? YES!! Remember – always check for GCF first!!
Factor out everything that ALL terms have in common.
In this case, all numbers have a 3 in common, and each term has at least 1 x.
Now, use the tic-tac-toe method on the trinomial.
This signs shows
The sign of the
Larger factor
This sign tells
you to Subtract
The factors.
Don’t forget to check yourself, multiply ACROSS (L to R) all rows and UP all columns to see if you get the correct products.
Now bring down your
GCF!!!

4. GCF? YES!! Same steps as before!!
Factor out EVERYTHING that ALL terms have in common.
The numbers have 3 in common.
What is the smallest exponent for “x”?
So, each term has 2x’s in common.
What is the smallest exponent on the “y”?
So each term has 1 y in common.
Now divide out the number and subtract the variables exponents.
Now, use the tic-tac-toe method on the trinomial.
(1)(20) (2)(10)
(4)(5) Which one will subtract to give +8?
(1)(4) or (2)(2) Which one? Multiply across the row for help!
Now bring down your
GCF!!!

5. GCF? YES!! Same steps as before!!
Factor out EVERYTHING that ALL terms have in common.
Now divide out the number and subtract the variables exponents
(1)(6) or
(2)(3) ???
Now, use the tic-tac-toe method on the trinomial.
Now bring down your
GCF!!!

6. GCF? YES!! What is different about this problem?
When the leading term is negative, just factor out a negative number to make it positive!!!.
Factor out EVERYTHING that ALL terms have in common.
(1)(90) (2)(45) (3)(30) (5)(18) (6)(15) yes
Now divide out the negative number!!
Now, use the tic-tac-toe method on the trinomial.
Now bring down your
GCF!!!

7. GCF?
YES!!
When the leading term is negative, just factor out a negative number to make it positive!!!.
Factor out EVERYTHING that ALL terms have in common.
(1)(120) (2)(60) (3)(40) (4)(30) (5)(24) (6)(20) (8)(15) Yes
(1)(20) (2)(10) (4)(5) yes – Look at last column.
Now divide out the negative number!!
Now, use the tic-tac-toe method on the trinomial.
Now bring down your
GCF!!!