Unit 3 mid checkpoint

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wnpbo99

Mathematics

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Unit 3: Polynomial Functions Mid Checkpoint Apply

Lesson 1-4

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. Should be done on computer.

  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 on page 332 to explain why scientific notation is useful in economics. Include the 2004 national debt of $7,379,100,000,000 and the U.S. population of 293,700,000, both written in words and in scientific notation, and an explanation of how to find the amount of debt per person with the result written in scientific notation and in standard notation.
  4. Writing in Math Use the information about tuition increases on page 340 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.

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Explanation & Answer

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Surname [1]
Student’s Name
Professor’s Name
Mathematics
10 May 2017
Polynomial Functions.
1. A quotient of two polynomials such that the remainder is 5.
Assume two polynomials: f(x) and g(x).
Let q(x)= [f(x)*g(x)+5]/f(x)...1
Example:
F(x)= x-2 and g(x)= x-5; therefore, by substitution (1)
Q(x)= (x-2) (x-5) +5/(x-2)
= (x2-7x+10) +5= x2-7x+15
= (x2-7x+15)/(x-2)
2.

Maximum and minimum Points.
Equation: f(x)= x3-13x2+36x
600
400
200
0
0

1

2

3

-200
-400

Series5

4

5

Surname [2]
3. Scientific and St...


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