CHAPTER 7 SUPPLEMENT: Multiplying Binomials
How many different ways can we calculate the area of the
rectangle below?
This is the area represented by the dimensions (x+3)(x+1).
What product does the area represent?
How do we represent (X+5)(x-2)? What is the product?
How do we represent (2x+4)(3x-1)? What is the product?
How do we show the dimensions for (x+3)2? Product?
What dimensions are represented by the following? What is
the product?
What is the product if x=3 and y=2?
How do we use the distributive property when multiplying two
binomials?
Foil Method: F_______, O_______, I_______, L_______
Find the product for (x+5) (x+3)
F O I L
TRY:
a) (x+3) (x-2)
b) (x-1) (x-3)
c) (2x+3) (x+2)
d) (2x-3)(3x-1)
e) (x-6)2
f) (2x+7)2
How can we multiply a trinomial and a binomial?
(x+2) (x2 + 3x + 2)
Distributive Method: Model:
Sometimes FOIL is only part of the method for solving an
equation.
a) (x+1) (5x+3) + (3)(2x+4)(6x-2)
b) (3y-2) (4y+5) – (y-7) (2y+3)