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1. Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.

ƒ(x) = 4x² - 5x + 4

[removed]		Falls to the left, rises to the right.
[removed]		Falls to the left, falls to the right.
[removed]		Rises to the left, rises to the right.
[removed]		Rises to the left, falls to the right.
[removed]		Falls to the left.

QUESTION 2

1. Describe the right-hand and the left-hand behavior of the graph of

t(x) = 4x⁵ - 7x³ - 13

[removed]		Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right.
[removed]		Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right.
[removed]		Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right.
[removed]		Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right.
[removed]		Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right.

QUESTION 3

1. Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.

ƒ(x) = 3 - 5x + 3x² - 5x³

[removed]		Falls to the left, rises to the right.
[removed]		Falls to the left, falls to the right.
[removed]		Rises to the left, rises to the right.
[removed]		Rises to the left, falls to the right.
[removed]		Falls to the left.

QUESTION 4

1. Select from the following which is the polynomial function that has the given zeroes.

2,-6

[removed]		f(x) = x² - 4x + 12
[removed]		f(x) = x² + 4x + 12
[removed]		f(x) = -x² -4x - 12
[removed]		f(x) = -x² + 4x - 12
[removed]		f(x) = x² + 4x - 12

QUESTION 5

1. Select from the following which is the polynomial function that has the given zeroes.

0,-2,-4

[removed]		f(x) = -x³ + 6x² + 8x
[removed]		f(x) = x³ - 6x² + 8x
[removed]		f(x) = x³ + 6x² + 8x
[removed]		f(x) = x³ - 6x² - 8x
[removed]		f(x) = x³ + 6x² - 8x

QUESTION 6

1. Sketch the graph of the function by finding the zeroes of the polynomial.

f(x) = 2x³ - 10x² + 12x

[removed]		0,2,3 https://content.grantham.edu/at/MA105/exams/w5_6_a.jpg
[removed]		0,2,-3 https://content.grantham.edu/at/MA105/exams/w5_6_b.jpg
[removed]		0,-2,3 https://content.grantham.edu/at/MA105/exams/w5_6_c.jpg
[removed]		0,2,3 https://content.grantham.edu/at/MA105/exams/w5_6_d.jpg
[removed]		0,-2,-3 https://content.grantham.edu/at/MA105/exams/w5_6_e.jpg

QUESTION 7

1. Select the graph of the function and determine the zeroes of the polynomial.

f(x) = x²(x-6)

[removed]		0,6,-6 https://content.grantham.edu/at/MA105/exams/w5_7_a.jpg
[removed]		0,6 https://content.grantham.edu/at/MA105/exams/w5_7_b.jpg
[removed]		0,-6 https://content.grantham.edu/at/MA105/exams/w5_7_c.jpg
[removed]		0,6 https://content.grantham.edu/at/MA105/exams/w5_7_d.jpg
[removed]		0,-6 https://content.grantham.edu/at/MA105/exams/w5_7_e.jpg

QUESTION 8

1. Use the Remainder Theorem and Synthetic Division to find the function value.

g(x) = 3x⁶ + 3x⁴ - 3x² + 6, g(0)

[removed]		6
[removed]		3
[removed]		-3
[removed]		8
[removed]		7

QUESTION 9

1. Use the Remainder Theorem and Synthetic Division to find the function value.

f(x) = 3x³ - 7x + 3, f(5)

[removed]		-343
[removed]		343
[removed]		345
[removed]		340
[removed]		344

QUESTION 10

1. Use the Remainder Theorem and Synthetic Division to find the function value.

h(x) = x³ - 4x² - 9x + 7, h(4)

[removed]		-28
[removed]		-27
[removed]		-31
[removed]		-25
[removed]		-29

QUESTION 11

1. Use synthetic division to divide:

(3x³ - 24x² + 45x - 54) ÷ (x-6)

[removed]		6x² - 3x - 9, x ≠ 6
[removed]		6x² -3x - 9, x ≠ 6
[removed]		3x² - 6x + 9, x ≠ 6
[removed]		3x² - 6x - 9, x ≠ 6
[removed]		3x² + 6x + 9, x ≠ 6

QUESTION 12

1. Use synthetic division to divide:

(x³ - 27x + 54) ÷ (x - 3)

[removed]		x² + 3x - 18, x ≠ 3
[removed]		x² - 3x - 27, x ≠ 3
[removed]		x² + 9x + 18, x ≠ 3
[removed]		x² + 9x - 6, x ≠ 3
[removed]		x² + 6x + 9, x ≠ 3

QUESTION 13

1. Use synthetic division to divide:

(4x³ - 9x + 16x² - 36) ÷ (x + 4)

[removed]		4x² - 9, x ≠ -4
[removed]		4x² + 9, x ≠ -4
[removed]		-4x² - 9, x ≠ -4
[removed]		4x³ - 9, x ≠ -4
[removed]		4x³ + 9, x ≠ -4

QUESTION 14

1. Use synthetic division to divide:

https://content.grantham.edu/at/MA105/exams/w5_14.jpg

[removed]		5x² + 45x + 25, x ≠ ¹/₅
[removed]		16x² + 80x + 20, x ≠ ¹/₅
[removed]		100x² + 45x + 400, x ≠ ¹/₅
[removed]		20x² + 180x + 400, x ≠ ¹/₅
[removed]		4x² + 21x + 20, x ≠ ¹/₅

QUESTION 15

1. Find all of the zeroes of the function.

(x - 3)(x + 9)³

[removed]		-3,9
[removed]		3,9
[removed]		-3,-9
[removed]		-3,3,9
[removed]		3,-9

QUESTION 16

1. Find all the rational zeroes of the function.

x³ - 12x² + 41x - 42

[removed]		-2, -3, -7
[removed]		2, 3, 7
[removed]		2, -3, 7
[removed]		-2, 3, 7
[removed]		-2, 3, -7

QUESTION 17

1. Determine all real zeroes of f.

f(x) = x³ + x² - 25x - 25

[removed]		-5,1,0
[removed]		5,0,-5
[removed]		-5,-1,5
[removed]		-5,0,0
[removed]		5,-1,0

QUESTION 18

1. The height, h(x), of a punted rugby ball is given by

https://content.grantham.edu/at/MA105/exams/w5_18.jpg

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?

[removed]		28 feet
[removed]		13 feet
[removed]		18 feet
[removed]		23 feet
[removed]		16 feet

QUESTION 19

1. 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?