SOLUTION: Please help me. I have 3 parts ti this question. I have to anwer any 2 of them and cannot get the anse=wer. This is my first time doing Intermediate Algebra. Thank you for you
Question 96233: Please help me. I have 3 parts ti this question. I have to anwer any 2 of them and cannot get the anse=wer. This is my first time doing Intermediate Algebra. Thank you for your help.
1. Find an example from your line of work or daily life that can be expressed as a polynomial
2. What does FOIL stand for and what is the purpose of FOIL?
3. What happens to the inner and outer products in the product of a sum and difference, (a + b)(a – b)? Give an example.
You can put this solution on YOUR website! 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
You can put this solution on YOUR website! 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:
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: 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: then you would simplify this by combining like-terms to get: as the answer.
3) The inner and outer products of the product of the sum and difference will add up to zero: and when you combine like-terms, the +ab and -ab add up to zero so you are left with:
(