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Hello, I need help in passing my MA105 class. Thank you,
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Hello, I need help in passing my MA105 class.

Thank you,



Select the correct description of right-hand and left-hand behavior of the graph of the

 

polynomial function.

 

?(x) = 4x2 - 5x + 4

 

Falls to the left, rises to the right.

 

Falls to the left, falls to the right.

 

Rises to the left, rises to the right.

 

Rises to the left, falls to the right.

 

Falls to the left.

 

QUESTION 2

 


 

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

 

t(x) = 4x5 - 7x3 - 13

 

Because the degree is odd and the leading coefficient is positive, the graph falls to

 

the left and rises to the right.

 

Because the degree is odd and the leading coefficient is positive, the graph rises to

 

the left and rises to the right.

 

Because the degree is odd and the leading coefficient is positive, the graph falls to

 

the left and falls to the right.

 

Because the degree is odd and the leading coefficient is positive, the graph rises to

 

the left and falls to the right.

 

Because the degree is even and the leading coefficient is positive, the graph rises

 

to the left and rises to the right.

 

QUESTION 3

 


 

Select the correct description of right-hand and left-hand behavior of the graph of the

 

polynomial function.

 

?(x) = 3 - 5x + 3x2 - 5x3

 

Falls to the left, rises to the right.

 

Falls to the left, falls to the right.

 

Rises to the left, rises to the right.

 


 

Rises to the left, falls to the right.

 

Falls to the left.

 

QUESTION 4

 


 

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

 

2,-6

 

f(x) = x2 - 4x + 12

 

f(x) = x2 + 4x + 12

 

f(x) = -x2 -4x - 12

 

f(x) = -x2 + 4x - 12

 

f(x) = x2 + 4x - 12

 

QUESTION 5

 


 

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

 

0,-2,-4

 

f(x) = -x3 + 6x2 + 8x

 

f(x) = x3 - 6x2 + 8x

 

f(x) = x3 + 6x2 + 8x

 

f(x) = x3 - 6x2 - 8x

 

f(x) = x3 + 6x2 - 8x

 

QUESTION 6

 


 

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

 

f(x) = 2x3 - 10x2 + 12x

 

0,2,3

 


 

0,2,-3

 


 

0,-2,3

 


 

0,2,3

 


 

0,-2,-3

 


 

QUESTION 7

 


 

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

 

f(x) = x2(x-6)

 

0,6,-6

 


 

0,6

 


 

0,-6

 


 

0,6

 


 

0,-6

 


 

QUESTION 8

 


 

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

 

g(x) = 3x6 + 3x4 - 3x2 + 6, g(0)

 

6

 

3

 

-3

 

8

 

7

 


 

QUESTION 9

 


 

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

 

f(x) = 3x3 - 7x + 3, f(5)

 

-343

 

343

 

345

 

340

 

344

 

QUESTION 10

 


 

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

 

h(x) = x3 - 4x2 - 9x + 7, h(4)

 

-28

 

-27

 

-31

 

-25

 

-29

 

QUESTION 11

 


 

Use synthetic division to divide:

 

(3x3 - 24x2 + 45x - 54) ÷ (x-6)

 

6x2 - 3x - 9, x ? 6

 

6x2 -3x - 9, x ? 6

 

3x2 - 6x + 9, x ? 6

 

3x2 - 6x - 9, x ? 6

 

3x2 + 6x + 9, x ? 6

 

QUESTION 12

 


 

Use synthetic division to divide:

 

(x3 - 27x + 54) ÷ (x - 3)

 


 

x2 + 3x - 18, x ? 3

 

x2 - 3x - 27, x ? 3

 

x2 + 9x + 18, x ? 3

 

x2 + 9x - 6, x ? 3

 

x2 + 6x + 9, x ? 3

 

QUESTION 13

 


 

Use synthetic division to divide:

 

(4x3 - 9x + 16x2 - 36) ÷ (x + 4)

 

4x2 - 9, x ? -4

 

4x2 + 9, x ? -4

 

-4x2 - 9, x ? -4

 

4x3 - 9, x ? -4

 

4x3 + 9, x ? -4

 

QUESTION 14

 


 

Use synthetic division to divide:

 


 

5x2 + 45x + 25, x ? 1/5

 

16x2 + 80x + 20, x ? 1/5

 

100x2 + 45x + 400, x ? 1/5

 

20x2 + 180x + 400, x ? 1/5

 

4x2 + 21x + 20, x ? 1/5

 

QUESTION 15

 


 

Find all of the zeroes of the function.

 

(x - 3)(x + 9)3

 

-3,9

 

3,9

 

-3,-9

 

-3,3,9

 

3,-9

 


 

QUESTION 16

 


 

Find all the rational zeroes of the function.

 

x3 - 12x2 + 41x - 42

 

-2, -3, -7

 

2, 3, 7

 

2, -3, 7

 

-2, 3, 7

 

-2, 3, -7

 

QUESTION 17

 


 

Determine all real zeroes of f.

 

f(x) = x3 + x2 - 25x - 25

 

-5,1,0

 

5,0,-5

 

-5,-1,5

 

-5,0,0

 

5,-1,0

 

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?

 

28 feet

 

13 feet

 

18 feet

 

23 feet

 


 

16 feet

 

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?

 

40

 

0.5

 

230

 

20

 

115

 

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.

 

$7.5

 

$6.5

 

$8.5

 

$9.5

 

$10.5

 


 

 







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