Compounded semiannually. P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1+r/2)2 represents the value of the investment after 1 year. Rewrite this expression without parentheses.

|P(1+r/2)2 |Squaring the expression- this is the same as multiplying the expression by itself 2 times.| | | | | |Simplify the expression using the FOIL method | |P(1+r/2)(1+r/2) | | | |Combined like terms r + r = 2r or r | |P(r2/4+r/2+r/2+1) |2 2 2 | | |Distribute P across the trinomial | |P(r2/4+r+1) | | | |Place all variables in descending order | |Pr2/4+Pr+P | |

Now we are to try out our polynomial formula with the given sets of numerical information.

|P = $200 and r = 10% |Interest rate as a decimal number r =.10 | |Pr2/4+Pr+P |The expanded formula...

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FinancialPolynomials
Ashford University
Abstract
In this paper I will be demonstrating how to use financialpolynomials with a few expressions from the textbook “Elementary and Intermediate Algebra”. I will not only show the problem, but also will also break the expression down showing all mathematical work, and provide reasoning of how anybody can apply this theory to everyday life. In the paper there will be the following words: FOIL, like terms, Descending order, Dividend, and Divisor highlighted and explained.
In the text we are given the following expression . With this expression we are to evaluate the polynomial using :
P=$200 and r= 10%, and
P=$5670 and r=3.5%
First we have to rewrite the expression without the parenthesis. One way to do this is to use a process called the FOIL method were we will multiple across the binomial using the steps of the FOIL method.
P(1+r/2)2 The original expression
P(1+r/2)*(1+r/2) Square the quantity (1+r/2)2 this will cancel out the exponent
P(1+r/2+r/2+r2/2) Here is were the FOIL method comes into play when there are Like terms they need to be combined.
P(1+r+r2/4) After FOIL method move (P) across the expression
P+Pr+Pr2/4 After parenthesis are moved here is what our expression looks like. Now we are ready to move to our second step inputting the above numbers into our expression.
P+Pr+Pr2/4 The original expression...

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How do we solve a FinancialPolynomials?
Mishell Baker
MAT221: Introduction to Algebra
Pro: Mariya Ivanova
November 23, 2013
How do we solve a FinancialPolynomials?
When solving for FinancialPolynomials I need to use the formula P (1 + r/2)2. I will be able to calculate how much interest my money will collect over a 1 year period. Then I can further figure out if I will have enough money over a longer period of time, to purchase my new item. I will use $200 at 10% interest for the first equation. The second equation I will use $5,670 at 3.5% interest rate. The final equation I will be dividing -3x by -9x3 + 3x2 – 15x.
We need to use the polynomial expression P (1 + r) 2
We will have to eliminate parentheses by multiplying by itself P (1 + r) (1 + r)
Using foil to carry out the expression P (1 + r + r + r2)
Combine like terms P (1 + 2r +r2)
Distribute the P in the trinomial P + 2Pr + Pr2
Normal polynomials run in descending order however; this one runs in ascending order with my highest exponent as the last term instead of first term.
Page 304 problem 90 of Elementary and Intermediate Algebra states “P dollars is invested at annual rate r for 1 year. If the interest is compounded seminally than the polynomial is P (1 + r) 2 represents the value of the investment after 1 year....

...POLYNOMIAL FUNCTIONS ACTIVITY
NCTM Addenda Series/Grades 9-12
The Park and Planning Commission decided to consider three factors when attempting to improve the daily profits at their sports facility:
❖ The number of all-day admission tickets sold
❖ The cost of operating the facility
❖ The price of each all-day admission ticket
After carefully analyzing their operating costs, they found that it would be impossible to cut them further.
Daily Operating Costs
Advertisements $ 55.00
Employees’ pay 310.00
Heat, lights, taxes, food, rent 435.00
Knowing that the maximum number of potential patrons is 200, the Park and Planning Commission decided to vary the price of each admission ticket to see what effect this change might have on the number of tickets sold. After much experimentation, they collected the following sales data:
Ticket Price [in $] Average Number of Tickets Sold
________________________________________________________________________
5. 158
7 142
9. 119
11 97
1. Using this information, suggest the optimal ticket price for all-day admission to the
sports facility. If you feel the need for more information, please explain why.
2. Use a graphing calculator to find the function rule of best fit for the...

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FinancialPolynomials
Tabitha Teasley
Math 221: Introduction to Algebra
Regina Cochran
March 22, 2014
There are many times in our life that we need to buy something big and expensive. In order to
afford or buy these item, such as cars, trucks, and houses, we need to invest or save our money over
time for that particular goal. Knowing how much money we need to begin with initially for an
investment and how much money we need to save additionally can help us to achieve that goal.
Polynomials can help you to know how much you need to start with and how much you need to save.
In this paper I will demonstrate how to use polynomials in two problems and I will simplify a
polynomial expression, so you will know how to use this in your life to solve financial problems like
this. Because polynomials can help you achieve those monetary goal you desire.
On page 304, problem #90 states: “P dollars is invested at annual interest rate r for 1 year. If
the interest is compounded semiannually, then the polynomial P(1+r/2)^2 represents the value of
investment after 1 year “ (Dugopolski, 2012). The first part requires the polynomial expression to be
rewritten without parenthesis. This mean FOIL or to multiply First,...

...Polynomial
The graph of a polynomial function of degree 3
In mathematics, polynomials are the simplest class of mathematical expressions (apart from the numbers and expressions representing numbers). A polynomial is an expression constructed from variables (also called indeterminates) and constants (usually numbers, but not always), using only the operations of addition, subtraction, multiplication, and non-negative integer exponents (which are abbreviations for several multiplications by the same value). However, the division by a constant is allowed, because the multiplicative inverse of a non-zero constant is also a constant. For example, x2 − x/4 + 7 is a polynomial, but x2 − 4/x + 7x3/2 is an algebraic expression that is not a polynomial, because its second term involves a division by the variable x (the term 4/x), and also because its third term contains an exponent that is not a non-negative integer (3/2).
A polynomial function is a function which is defined by a polynomial. Sometimes, the term polynomial is reserved for the polynomials that are explicitly written as a sum (or difference) of terms involving only multiplications and exponentiation by non negative integer exponents. In this context, the other polynomials are called polynomial expressions. For example, is a polynomial...

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FinancialPolynomialsPolynomials have been used for many centuries to aid individuals with budgeting or expense planning. The use of algebraic functions has been very important in our normal day to day operations especially when it comes to the business field. Therefore, in this paper I will reveal how polynomials can be very beneficial to everyday lives dealing with finance.
The first thing is to find the proper algebraic formula to solve the equation.
P(l+ r)^2 The given expression
P (l + r) (l + r) At this point you will square everything that is in the parentheses.
P(l + r + r +) The final equation after using the (FOIL) method is used to solve
polynomials. You will (FOIL….the first outside inside last to receive
your next equation)
P(l + 2r + ) At this stage you will begin to gather like terms by using the associative
property method. Being that we are combining like terms (r + r = 2r) it
will make it easier to solve.
P + 2Pr + P At this point we will begin to distribute the letter (P) through the whole
trinomial.
Now at this point we have established the correct formula to solve for the interest rate for the next two years. So now it is time to implement the numbers into the...

...Lesson 03.01: Review of Polynomials
Types of Expressions
Type
Definition
Example
Monomial
An expression with one term
5x
Binomial
An expression with two terms
g + 3
Trinomial
An expression with three terms
m2 + m + 1
Polynomial
An expression containing four or more terms
a5 – 3a4 – 7a3 + 2a – 1
Polynomial Arrangement
A polynomial in descending order is written with the terms arranged from largest to smallest degree.
Example: s3 – s2 + 3s – 7
A polynomial in ascending order is written with the terms arranged from smallest to largest degree.
Example: –9 + r2 + 4r4
Degree of Polynomials
The degree of a polynomial is equal to the degree of the term with the highest sum of exponents.
Example: z3 + 7z2 – 11z + 24, degree 3
Example: 5r3s – 6rs2 + q – 8, degree 4
Lesson 03.02: Polynomial Operations
Adding Polynomials
Distribute any coefficients
Combine like terms
(4x3 + 5x2 – 2x – 7) + (2x3 – 6x2 – 2)
4x3 + 5x2 – 2x – 7 + 2x3 – 6x2 – 2
6x3 – x2 – 2x – 9
Subtracting Polynomials
Distribute any coefficients – don’t forget to distribute the understood negative one!
Combine like terms
(9x2 – 7) – (8x2 + 2x + 10)
9x2 – 7 – 8x2 – 2x – 10
x2 – 2x – 17
Multiplying Polynomials
Type of Factors
Description
*Always combine like terms!
Example
Monomial and Polynomial...