1. AM 1.2b To Factor Out a Common Term
AM 1.2b To Factor Out a Common Term

2. Active Learning Assignment?4

3. FACTORING RULES!
1. Always see if you can factor out a common term.

4. LESSON:
The Fundamental Theorem of Algebra is based on factors. Factors are the components of a polynomial, that when multiplied together produce the polynomial.
So, for example: 2x( 3x +5) are the factors and the resulting polynomial is 6x2 + 10x
Now, what if we wanted to factor 6x2 + 10x?
What do 6 & 10 have in common? (Greatest Common Factor?)
2! Now since the exponent on the variables is the number of times it is multiplied, what is the greatest number multiplied in both x2 & x?
x! So, we can pull 2x out and write what are left with.

5. Thus, to factor 6x2 + 10x
we look at: x x
2x ( ) 3x
+ 5
Ex: – 9x2 – 21x
z6 + 30z4
– 3x( )
3x + 7
15z4( )
z2 + 2
Try: – 8p9 + 24p4
m11 – 27m15
– 8p4( p5 – 3)
9m11(2 – 3m4)

6. Thus, to factor more than two terms:
Ex: x3– 16x2 – 20x
6. 5yz6 + 30y2z4 + 25y2z5
4x( )
5yz4( )
x2 – 4x – 5
z2 + 6y + 5yz
Try: c8 + 16c5 – 20c2
ab + 3a3b4 + 6a5b2
4c2 (3c6 + 4c3 – 5)
3ab(5 + a2b3 + 2a4b)
Factor Worksheet “Common Term” (A): 13, 17, 21, 23.