Question 96233
1) I think that you will have to find your own answer to this question but one example might be:
When I hit a baseball into the air, the height, in feet, it reaches can be expressed by the polynomial:
{{{f(h) = -16t^2+v[0]t+h[0]}}}

2) FOIL stands for:
F = First terms.
O = Outer terms.
I = Inner terms.
L = Last terms.
The purpose of FOIL is a mnemonic (memory aid) which reminds you of the order in which to multiply the terms of two binomials.
For example, to multiply the binomials:
{{{(2x+3)(3x+4)}}} you would multiply the first term (F) of each binomial ((2x)(3x)), then the two outer terms ((2x)(4)), then the two inner terms ((3)(3x)), and finally the two last terms ((3)(4)), so it looks like this:
{{{(2x+3)(3x+4) = 6x^2+8x+9x+12}}} then you would simplify this by combining like-terms to get:{{{6x^2+17x+12}}} as the answer.

3) The inner and outer products of the product of the sum and difference will add up to zero:
{{{(a+b)(a-b) = a^2+ab-ab+b^2}}} and when you combine like-terms, the +ab and -ab add up to zero so you are left with:
{{{(a+b)(a-b) = a^2-b^2}}}