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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