1. How to factor your food and foil the leftovers!
Summer McElman
Pi Day Project 2012

2. Multiplying Polynomials
A polynomial consists of two or more numbers, variables, or products with or without exponents.
Ex) 5x+3, -2y-1, x²+3
A standard form of multiplying polynomials would be
(x+4)(x+2)
To multiply polynomials three methods are possible
Algebra Tiles
Punnett Square
Foil

3. Algebra Tiles x 1 -1 x² -x² -x
There are three different shapes of Algebra tiles and each side is important. Colors represent positive and negative and are usually used by the colors green(blue) and red(black). x 1 -1 x²
-x² -x

4. Multiplying Algebra Tiles
Ex) (x+3)(x+4)
Represent factors with tiles
Fill in spots to connect tiles
Trinomial is created
x² + 7x + 12 x² x x x x x 1 1 1 1 x 1 1 1 1 x 1 1 1 1

5. Practice Problem x² + 6x + 8 x² 1x 1x 1x 1x 1x 1 1 1 1 1x 1 1 1 1
Your sister is making tuna sandwiches and she needs to know the area of the bread in order to make enough tuna to cover it. You measure the sides to be (x+2) and (x+4). What is the total area?
x² + 6x + 8 x² 1x 1x 1x 1x 1x 1 1 1 1 1x 1 1 1 1

6. Punnett Square x 5 x x² 5x 2 2x 10 Ex) (x+5)(x+2)
Plug factors into punnett square
Multiply by rows
Simplify polynomial
𝑥 2 +5𝑥+2𝑥+10
𝑥 2 +7𝑥+10 x 5 x x² 5x 2 2x 10

7. Practice Problem x 3 x x² 3x 1 x 3 x² + 3x + x + 3 x² + 4x + 3
Your brother is eating a block of cheese and you want to the know the area of the section he bit off of. You measure the sides to be (x+1) and (x+3). What is the area of the bitten off cheese? x 3
x² + 3x + x + 3
x² + 4x + 3 x x² 3x 1 x 3

8. Foil x²+10x+21 First: (x+7)(x+3) = (x)(x) = x²
Ex) (x+7)(x+3)
First: (x+7)(x+3) = (x)(x) = x²
Outside: (x+7)(x+3) = (x)(3) = 3x
Inside: (x+7)(x+3) = (7)(x) = 7x
Last: (x+7)(x+3) = (7)(3) = 21
x²+3x+7x+21
x²+10x+21

9. The Food Pyramid
GRAINS
VEGETABLES
FRUITS
OILS
MILK
MEAT & BEANS