Question 96233
1. Find an example from your line of work or daily life that can be expressed as a polynomial:
EXAMPLE: My yearly salary (y) is based upon three times the number of years (x) I worked plus a $1,000 bonus:
y=(3)(number of years)+$1,000 bonus
or
y=3x+1000
 
2. What does FOIL stand for and what is the purpose of FOIL? 
The purpose of FOIL is to help in multiplying binomials.  It stands for:
F=multiply the FIRST terms
O= than multiply the OUTER terms
I=next multipy the INNER terms
L=now multiply the LAST terms
EXAMPLE:
(x+2)(x+3)
FIRST: x*x
Outer: x*3
Inner:2*x
Last 2*3
Putting it all together:
x^2+3x+2x+6
x^2+5x+6
.


3. What happens to the inner and outer products in the product of a sum and difference, (a + b)(a – b)? Give an example.
The inner and out products are eliminated because their sum is equal to zero:
Such as:
(a+b)(a-b)
USING FOIL:
a^2+ab-ab-b^2
a^2-b^2
.
EXAMPLE:
(x-3)(x+3)
x^2-3x+3x+3^2
x^2-9