Simplify:
(6z)(4z)
-2(w+5)
6q - 9 - 5q
(k2 - 9k) + (k2 + 9)
Warm--Up
Warm
9.3-- Multiplying
9.3
Binomials
Ess. Q’s:
-How do you find products of binomials?
-What special products of binomials are there?
A binomial is a polynomial made up of
____ terms.
Ex.: x + 2
How can you multiply 2 binomials?
◦ For instance: (x + 2)(X + 5)
Binomials
An acronym is a word formed from the
first letters of a series of words
Ex.: Radar stands for Radio Detecting
and Ranging
What other acronyms can you think of?
FOIL Method
F
First
O
Outer
I
Inner
•Multiply first terms of each
binomial, outer terms,
inner terms, and last terms
of each binomial.
FOIL Method
L
Last
FOIL
Multiply:
(y+3)(y-4)
Try It!
(x+2)(x+5)
-For any real numbers a and b:
(a+b)(a-b) = a2 – b2
(a+b)(a+b) = (a+b)2 = a2 + 2ab + b2
(a-b)(a-b) = (a-b)2 = a2 – 2ab +b2
Special Products
Find the following products using special
products from last slide:
A.) (x – 6)(x + 6)
B.) (2x + 6)(2x + 6)
C.) (x – 3)(x – 3)
Examples
A friend tells Joe that for (x+4)2, you can
square each term, so it simplifies to
x2 + 16.
Use the FOIL method to show that Joe’s
friend is correct or incorrect.
Dilemma
Polynomials with 2 terms are called
_____________.
Name the words that the FOIL acronym
stands for.
When is the FOIL method used?
Summary
With a partner:
◦ Make a poster that shows & explains the FOIL
method- Be Creative!
◦ Present your poster to the class and give a
short description/explanation
◦ *Follow rubric guidelines!
◦ Counts like a test grade
Project