week 4 Assigment
Financial Polynomials
MAT 221 Introduction to Algebra
Instructor: Neal Johnson
April 7, 2013
Problem 1 p=200 r=10 n=1 p(1+r)1
Reorder the polynomial 1+r alphabetically from left to right, starting with the highest order term. p(r+1) Multiply p by each term inside the parentheses. pr+p Replace the variable r with 10 in the expression. p(10)+p Replace the variable p with 200 in the expression.
(200)(10)+(200)
Divide 200 by 10 to get 20. This will be the Dividend for the year.
(20)+200
Add 200 to 20 to get 220.
220.00
Problem 2 p=5670 r=3.5 n=1 p(1+r)1
Reorder the polynomial 1+r alphabetically from left to right, starting with the highest order term. p(r+1) Multiply p by each term inside the parentheses. pr+p Replace the variable r with 3.5 in the expression. p(3.5)+p Replace the variable p with 5670 in the expression.
(5670)(3.5)+(5670)
Divide 5670 by 3.5 to get 1620. This will be the Dividend for the year.
(1620)+5670
Add 5670 to 1620 to get 7290.
7,290.00
Problem 3
(-9x3+3x2-15x)/(-3x)
Move the minus sign from the denominator to the front of the expression.
-(-9x3+3x2-15x)/(3x)
Factor out the GCF of -3x from each term in the polynomial.
-(-3x(3x2)-3x(-x)-3x(5)/(3x)
Factor out the GCF of -3x from -9x3+3x2-15x.
-(-3x(3x2-x+5)/(3x)
Reduce the expression -(3x(3x2-x+5)/(3x) by removing a factor of 3x from the numerator and denominator.
-(-(3x^(2)-x+5))
Multiply -1 by each term inside the parentheses.
-(-3x2+x-5)
Multiply -1 by each term inside the parentheses.
3x2-x+5
MAT 221 Introduction to Algebra
Instructor: Neal Johnson
April 7, 2013
Problem 1 p=200 r=10 n=1 p(1+r)1
Reorder the polynomial 1+r alphabetically from left to right, starting with the highest order term. p(r+1) Multiply p by each term inside the parentheses. pr+p Replace the variable r with 10 in the expression. p(10)+p Replace the variable p with 200 in the expression.
(200)(10)+(200)
Divide 200 by 10 to get 20. This will be the Dividend for the year.
(20)+200
Add 200 to 20 to get 220.
220.00
Problem 2 p=5670 r=3.5 n=1 p(1+r)1
Reorder the polynomial 1+r alphabetically from left to right, starting with the highest order term. p(r+1) Multiply p by each term inside the parentheses. pr+p Replace the variable r with 3.5 in the expression. p(3.5)+p Replace the variable p with 5670 in the expression.
(5670)(3.5)+(5670)
Divide 5670 by 3.5 to get 1620. This will be the Dividend for the year.
(1620)+5670
Add 5670 to 1620 to get 7290.
7,290.00
Problem 3
(-9x3+3x2-15x)/(-3x)
Move the minus sign from the denominator to the front of the expression.
-(-9x3+3x2-15x)/(3x)
Factor out the GCF of -3x from each term in the polynomial.
-(-3x(3x2)-3x(-x)-3x(5)/(3x)
Factor out the GCF of -3x from -9x3+3x2-15x.
-(-3x(3x2-x+5)/(3x)
Reduce the expression -(3x(3x2-x+5)/(3x) by removing a factor of 3x from the numerator and denominator.
-(-(3x^(2)-x+5))
Multiply -1 by each term inside the parentheses.
-(-3x2+x-5)
Multiply -1 by each term inside the parentheses.
3x2-x+5