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EPCC MATH 1314 Exam 2 MARCH 19,2015
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Divide and express the result in standard form.
9 - 3i
1)
4 + 8i
1)
A)
B)
Perform the indicated operations and write the result in standard form.
2) (-3 + -100)2
A)
B)
2)
Solve the quadratic equation using the quadratic formula. Express the solution in standard form.
3) 7x2 = 5x - 3
A)
B)
3)
Solve the problem.
4) The profit that the vendor makes per day by selling x pretzels is given by the function
P(x) = -0.002x2 + 1.4x - 50. Find the number of pretzels that must be sold to maximize profit.
4)
A)
B)
Find the zeros of the polynomial function. Show all your work for full credit. Show the process solution. No calculator
based answers will get full credit
5) f(x) = x 3 + 4x2 - 4x - 16
5)
A)
B)
Divide using long division.
6) (14x3 - 7) ÷ (2x - 1)
A)
B)
1
6)
Use synthetic division and the Remainder Theorem to find the indicated function value.
7) f(x) = x 5 - 2x4 - 3x3 + 8; f(4)
A)
B)
Solve the problem.
8) Use synthetic division to divide f(x) = x3 - 12x2 + 41x - 30 by x - 6. Use the result to find all zeros of
f.
A)
B)
7)
8)
Use the graph or table to determine a solution of the equation. Use synthetic division to verify that this number is a
solution of the equation. Then solve the polynomial equation. Show all your work for full credit. Show the process
solution. No calculator based answers will get full credit
9) x3 + 6x 2 + 11x + 6 = 0
9)
A)
B)
Find a rational zero of the polynomial function and use it to find all the zeros of the function. Show all your work for full
credit. Show the process solution. No calculator based answers will get full credit
10) f(x) = 3x3 - 17x2 + 18x + 8
10)
A)
B)
2
Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots.
Show all your work for full credit. Show the process solution. No calculator based answers will get full credit
11) 4x3 - 19x2 + 19x + 6 = 0
11)
A)
B)
Solve the problem.
12) The concentration, in parts per million, of a particular drug in a patient's blood x hours after the
drug is administered is given by the function
12)
f(x) = -x4 + 11x3 - 42x2 + 60x
How many hours after the drug is administered will it be eliminated from the bloodstream.
A)
B)
Find an nth degree polynomial function with real coefficients satisfying the given conditions.
13) n = 3; 1 and -2 + 3i are zeros; leading coefficient is 1
A)
B)
Find the slant asymptote, if any, of the graph of the rational function.
x2 + 7x - 4
14) f(x) =
x-5
A)
B)
13)
14)
C)
Solve the problem.
15) A drug is injected into a patient and the concentration of the drug is monitored. The drug's
concentration, C(t), in milligrams after t hours is modeled by
4t
C(t) =
.
3t2 + 2
What is the horizontal asymptote for this function? Describe what this means in practical terms.
A)
B)
3
15)
16) The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room
and the height of the wall. If a room with a perimeter of 30 feet and 8-foot walls requires 2.4 quarts
of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 40 feet
and 10-foot walls.
A)
B)
4
16)