Objective: At the end of this lesson, students will be able to factor a binomial
using the GCF and distributive property .
Warm up problem from section 6 – 7 Multiplying a polynomial by a monomial
• Simplify 5x(6x + 7) – show all steps !!
Review problem from section 7 – 1 Factoring Monomials
• Find the GCF of the two monomials 30x2 and 35x
Give an example of a binomial. ________________
What is a binomial “made” of?
___________________________________________________
So . . . if we can find the GCF of two monomials, do you think we can use a
similar process to find the
GCF of a binomial?!?!?!?
Example 1 – Factor the binomial 30x2 + 35x using the GCF.
• Find the GCF of the two monomials that make up the binomial.
• After you take out the GCF of each monomial, see what you have left.
You will have a binomial because you started with a binomial!!
• Remember that factors are _________________________________________, so when
you
factor, you will always have _____________________________________.
• The final answer will look like ______ (___________________).
Let’s look at the warm up problem from section 6 – 7. What do you notice?
Example 2 – Factor each binomial using the GCF.
(On the homework the directions will say “ Factor each expression ” – you’ll have
to know that you factor the binomial using
the GCF!).
