polynomial functions, homework help

Please complete the following questions. It is important that you show all work you did to solve the problems when you submit your work. This includes any calculations, diagrams, or graphs that helped you solve it.

1. OPEN ENDED Write a quotient of two polynomials such that the remainder is 5.
2. OPEN ENDED Sketch a graph of a function that has one relative maximum point and two relative minimum points.
3. Writing in Math Use the information about tuition increases on page 340 (attached below) to explain how polynomials can be applied to financial situations. Include an explanation of how a polynomial can be applied to a situation with a fixed percent rate of increase and an explanation of how to use an expression and the 6% rate of increase to estimate Shenequa’s tuition in the fourth year.

College Choices
College
Tuition
Shenequa has narrowed her choice for
which college to attend. She is most
interested in Coastal Carolina University,
where the current year’s tuition is $3430.
Shenequa assumes that tuition will
increase at a rate of 6% per year.
You can use polynomials to represent the
increasing tuition costs.
Allegheny College $26.650
$7821
University of
Maryland
$9490
Coastal Carolina
University
Add and Subtract Polynomials If r represents the rate of increase of
tuition, then the tuition for the second year will be 3430(1 + r). For the
third year, it will be 3430(1 + r)2, or 34302 + 6860r + 3430 in expanded
form. The degree of a polynomial is the degree of the monomial with the
greatest degree. For example, the degree of this polynomial is 2.