Algebra Quiz
mathexpert121
Question 1
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
ƒ(x) = 4x2 - 5x + 4
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| Falls to the left, rises to the right. |
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| Falls to the left, falls to the right. |
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| Rises to the left, rises to the right. |
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| Rises to the left, falls to the right. |
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| Falls to the left. |
5 points
Question 2
Describe the right-hand and the left-hand behavior of the graph of
t(x) = 4x5 - 7x3 - 13
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| Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right. |
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| Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right. |
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| Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right. |
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| Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right. |
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| Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right. |
5 points
Question 3
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
ƒ(x) = 3 - 5x + 3x2 - 5x3
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| Falls to the left, rises to the right. |
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| Falls to the left, falls to the right. |
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| Rises to the left, rises to the right. |
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| Rises to the left, falls to the right. |
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| Falls to the left. |
5 points
Question 4
Select from the following which is the polynomial function that has the given zeroes.
2,-6
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| f(x) = x2 - 4x + 12 |
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| f(x) = x2 + 4x + 12 |
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| f(x) = -x2 -4x - 12 |
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| f(x) = -x2 + 4x - 12 |
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| f(x) = x2 + 4x - 12 |
5 points
Question 5
Select from the following which is the polynomial function that has the given zeroes.
0,-2,-4
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| f(x) = -x3 + 6x2 + 8x |
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| f(x) = x3 - 6x2 + 8x |
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| f(x) = x3 + 6x2 + 8x |
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| f(x) = x3 - 6x2 - 8x |
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| f(x) = x3 + 6x2 - 8x |
5 points
Question 6
Sketch the graph of the function by finding the zeroes of the polynomial.
f(x) = 2x3 - 10x2 + 12x
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| 0,2,3 |
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| 0,2,-3 |
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| 0,-2,3 |
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| 0,2,3 |
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| 0,-2,-3 |
5 points
Question 7
Select the graph of the function and determine the zeroes of the polynomial.
f(x) = x2(x-6)
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| 0,6,-6 |
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| 0,6 |
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| 0,-6 |
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| 0,6 |
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| 0,-6 |
5 points
Question 8
Use the Remainder Theorem and Synthetic Division to find the function value.
g(x) = 3x6 + 3x4 - 3x2 + 6, g(0)
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| 6 |
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| 3 |
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| -3 |
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| 8 |
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| 7 |
5 points
Question 9
Use the Remainder Theorem and Synthetic Division to find the function value.
f(x) = 3x3 - 7x + 3, f(5)
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| -343 |
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| 343 |
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| 345 |
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| 340 |
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| 344 |
5 points
Question 10
Use the Remainder Theorem and Synthetic Division to find the function value.
h(x) = x3 - 4x2 - 9x + 7, h(4)
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| -28 |
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| -27 |
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| -31 |
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| -25 |
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| -29 |
5 points
Question 11
Use synthetic division to divide:
(3x3 - 24x2 + 45x - 54) ÷ (x-6)
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| 6x2 - 3x - 9, x ≠ 6 |
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| 6x2 -3x - 9, x ≠ 6 |
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| 3x2 - 6x + 9, x ≠ 6 |
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| 3x2 - 6x - 9, x ≠ 6 |
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| 3x2 + 6x + 9, x ≠ 6 |
5 points
Question 12
Use synthetic division to divide:
(x3 - 27x + 54) ÷ (x - 3)
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| x2 + 3x - 18, x ≠ 3 |
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| x2 - 3x - 27, x ≠ 3 |
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| x2 + 9x + 18, x ≠ 3 |
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| x2 + 9x - 6, x ≠ 3 |
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| x2 + 6x + 9, x ≠ 3 |
5 points
Question 13
Use synthetic division to divide:
(4x3 - 9x + 16x2 - 36) ÷ (x + 4)
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| 4x2 - 9, x ≠ -4 |
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| 4x2 + 9, x ≠ -4 |
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| -4x2 - 9, x ≠ -4 |
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| 4x3 - 9, x ≠ -4 |
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| 4x3 + 9, x ≠ -4 |
5 points
Question 14
Use synthetic division to divide:
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| 5x2 + 45x + 25, x ≠ 1/5 |
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| 16x2 + 80x + 20, x ≠ 1/5 |
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| 100x2 + 45x + 400, x ≠ 1/5 |
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| 20x2 + 180x + 400, x ≠ 1/5 |
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| 4x2 + 21x + 20, x ≠ 1/5 |
5 points
Question 15
Find all of the zeroes of the function.
(x - 3)(x + 9)3
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| -3,9 |
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| 3,9 |
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| -3,-9 |
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| -3,3,9 |
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| 3,-9 |
5 points
Question 16
Find all the rational zeroes of the function.
x3 - 12x2 + 41x - 42
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| -2, -3, -7 |
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| 2, 3, 7 |
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| 2, -3, 7 |
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| -2, 3, 7 |
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| -2, 3, -7 |
5 points
Question 17
Determine all real zeroes of f.
f(x) = x3 + x2 - 25x - 25
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| -5,1,0 |
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| 5,0,-5 |
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| -5,-1,5 |
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| -5,0,0 |
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| 5,-1,0 |
5 points
Question 18
The height, h(x), of a punted rugby ball is given by where x is the horizontal distance in feet from the point where the ball is punted. How far, horizontally, is the ball from the kicker when it is at its highest point?
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| 28 feet |
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| 13 feet |
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| 18 feet |
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| 23 feet |
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| 16 feet |
5 points
Question 19
The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model.
P(x) = 230 + 40x - 0.5x2
What expenditure for advertising will yield a maximum profit?
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| 40 |
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| 0.5 |
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| 230 |
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| 20 |
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| 115 |
5 points
Question 20
The total revenue R earned per day (in dollars) from a pet-sitting service is given by
R(p) = -10p2 + 130p
where p is the price charged per pet (in dollars).
Find the price that will yield a maximum revenue.
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| $7.5 |
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| $6.5 |
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| $8.5 |
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| $9.5 |
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| $10.5 |
5 points
10 years ago
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