can i please get help on these questions also how to slove it step by step

QUESTION 1

1. Select the correct description of right-hand and left-hand

behavior of the graph of the polynomial function.

?(x) = 4×2 – 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.

5 points

QUESTION 2

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

graph of

t(x) = 4×5 – 7×3 – 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.

5 points

QUESTION 3

1. Select the correct description of right-hand and left-hand

behavior of the graph of the polynomial function.

?(x) = 3 – 5x + 3×2 – 5×3

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.

5 points

QUESTION 4

1. 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

5 points

QUESTION 5

1. Select from the following which is the polynomial function

that has the given zeroes.

0,-2,-4

f(x) = -x3 + 6×2 + 8x

f(x) = x3 – 6×2 + 8x

f(x) = x3 + 6×2 + 8x

f(x) = x3 – 6×2 – 8x

f(x) = x3 + 6×2 – 8x

5 points

QUESTION 6

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

the polynomial.

f(x) = 2×3 – 10×2 + 12x

0,2,3

0,2,-3

0,-2,3

0,2,3

0,-2,-3

5 points

QUESTION 7

1. 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

5 points

QUESTION 8

1. Use the Remainder Theorem and Synthetic Division to find

the function value.

g(x) = 3×6 + 3×4 – 3×2 + 6, g(0)

6

3

-3

8

7

5 points

QUESTION 9

1. Use the Remainder Theorem and Synthetic Division to find

the function value.

f(x) = 3×3 – 7x + 3, f(5)

-343

343

345

340

344

5 points

QUESTION 10

1. Use the Remainder Theorem and Synthetic Division to find

the function value.

h(x) = x3 – 4×2 – 9x + 7, h(4)

-28

-27

-31

-25

-29

5 points

QUESTION 11

1. Use synthetic division to divide:

(3×3 – 24×2 + 45x – 54) ? (x-6)

6×2 – 3x – 9, x ? 6

6×2 -3x – 9, x ? 6

3×2 – 6x + 9, x ? 6

3×2 – 6x – 9, x ? 6

3×2 + 6x + 9, x ? 6

5 points

QUESTION 12

1. 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

5 points

QUESTION 13

1. Use synthetic division to divide:

(4×3 – 9x + 16×2 – 36) ? (x + 4)

4×2 – 9, x ? -4

4×2 + 9, x ? -4

-4×2 – 9, x ? -4

4×3 – 9, x ? -4

4×3 + 9, x ? -4

5 points

QUESTION 14

1. Use synthetic division to divide:

5×2 + 45x + 25, x ? 1/5

16×2 + 80x + 20, x ? 1/5

100×2 + 45x + 400, x ? 1/5

20×2 + 180x + 400, x ? 1/5

4×2 + 21x + 20, x ? 1/5

5 points

QUESTION 15

1. Find all of the zeroes of the function.

(x – 3)(x + 9)3

-3,9

3,9

-3,-9

-3,3,9

3,-9

5 points

QUESTION 16

1. Find all the rational zeroes of the function.

x3 – 12×2 + 41x – 42

-2, -3, -7

2, 3, 7

2, -3, 7

-2, 3, 7

-2, 3, -7

5 points

QUESTION 17

1. 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

5 points

QUESTION 18

1. 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

5 points

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 – 0.5×2

What expenditure for advertising will yield a maximum profit?

40

0.5

230

20

115

5 points

QUESTION 20

1. The total revenue R earned per day (in dollars) from a petsitting 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

5 points

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