1. Ex 1. Factor the Trinomial Always look for a GCF First!!
x2 + 4x + 3
( )( )
GCF??... NO! x + 3 x + 1
What multiplies to equal x2
What #s multiply to equal 3?
x • x
3 and 1
continued

2. Ex.1) Continued (x + 3)(x + 1) How do I know this is right?
Look at the product of the outer and inner terms.
Do they add to give you the middle term?
YES….so you factored it correctly! 3x
3x + x = 4x  x

3. Ex.2) Factor the Trinomial
GCF??... NO! 6 x2
x2 + 5x + 6
( )( )
So, do we use 2 and 3 or 1 and 6?
Well…which ones will add to give you 5?
2 and 3!!
Check!
3x + 2x = 5x 
2, 3
1, 6
x, x x + 2 x + 3 2x 3x

4. Ex. 3) Factor the Trinomial
GCF??... NO!
x2 – 2x – 3
( )( ) -3 x2 x - 3 x + 1
-3, 1
-1, 3
x, x
-3x x
So, do we use -3 and 1 or -1 and 3?
Well…which ones will add to give you -2?
-3 and 1!!
Check!
x + -3x = -2x 

5. Practice!! 2(x + 2) (x + 6) 3x(x + 5) (x – 2) x(x + 7) (x – 2)
Factor each
Polynomial !!!
Don’t forget the GCF!
2(x + 2) (x + 6)
3x(x + 5) (x – 2)
x(x + 7) (x – 2)
3(x + 5) (x + 4)
4(x – 4) (x + 3)
2x(x - 6)(x + 4)