Unit 11 - Factoring & Quadratics
Aim #90: How do we Factor using the GCF method?
Do Now:
Homework: Aim 90 Handout
Do Now
1) Find the GCF of each pair of monomials.
a) 18 and 42
b) 24x2 and 36x4
2) Simplify:
a) 2(n + 5)
b) 3a(7a2 - 2a - 1)
Factoring: Breaking down a polynomial into its factors.
One type of factoring is the _________ method.
What if we know the product and want to work backwards to
find the factors?
Ex #1:
5x + 20 = ___(
GCF
Step 1: Identify the GCF.
)
Think: What is the biggest
number that divides all the
numbers
Step 2: Divide each term by the GCF.
Ex #2:
16y 2 + 24y
Ex #3:
12a3 + 16a2 - 4a
Ex #4:
24xy2 - 36x2 y3 z
Conclusion:
1) Factoring is the __________ of
the Distributive Property.
2) To make sure you have correctly
identified the GCF, look at the polynomial
inside the set of parentheses and make
sure there are no more common factors .