Pl help Question 1(Multiple Choice Worth 2 points) (01.02 MC)

The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 33t2 – 36t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?

1 month
3 months
4 months
0 months
Question 2(Multiple Choice Worth 2 points)
(01.02 MC)

Which of the following matches the graph of f (x) = 2(x + 1)2(x – 1)(x – 2)?

Polynomial going down from the left and passing through the point negative 2 comma 0 and going to a local minimum and then going up through the point negative 1 comma 0 to a maximum and then going down through the point 4 comma 0 to a minimum at 1 comma 0 and then going up to the right
Polynomial going down from the left and passing through the point negative 2 comma 0 and going to a local minimum and then going up to a local maximum at the point negative 1 comma 0 and then down through the point 0 comma negative 4 to a local minimum and then up through the point 1 comma 0 to the right
Polynomial going down from the left and passing through a local minimum at the point negative 1 comma 0 and going up through the point 0 comma 4 to a local maximum and then down through the point 1 comma 0 to a local minimum and then up through the point 2 comma 0 to the right
Polynomial going down from the left and passing through the point negative 1 comma 0 to a local minimum and then going up through the point 0 comma negative 4 to a local maximum at the point 1 comma 0 and then down to a local minimum and then up through the point 2 comma 0 to the right
Question 3(Multiple Choice Worth 2 points)
(01.02 MC)

Using the Factor Theorem, which of the polynomial functions has the zeros 4, radical 7 , and negative radical 7?

f (x) = x3 – 4x2 + 7x + 28
f (x) = x3 – 4x2 – 7x + 28
f (x) = x3 + 4x2 – 7x + 28
f (x) = x3 + 4x2 – 7x – 28
Question 4(Multiple Choice Worth 2 points)
(01.02 MC)

The following table gives a partial set of values of a polynomial function.

x –2 –1 0 1 2 3
g(x) 14 2 0 4 6 –2

Between which two values would a relative minimum most likely occur?
–2 and 0
0 and 2
–1 and 1
1 and 3
Question 5(Multiple Choice Worth 2 points)
(01.02 MC)

A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 360 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?

2 inches
5 inches
8 inches
9 inches