2 polynomial functions questions..?

Question

1) Find the value of k such that (0, 10) is the y-intercept for the graph of f(x) = x^3 - 2x^2 + 14x - 3k. 

2) Suppose a polynomial function f has three zeros, -3, 2, and 4, and has the end behavior that its graph goes down to the left as x -> -infinity and down to the right as x -> +infinity. Discuss possible equations for f. 

Please if you can provide the steps and an explanation would help a lot. Thanks for your time!

Answer 1

Step 1:

The function is .

-intercept point is .

Find the value.

Substitute in the .

The value of is .

Step 2:

The polynomial function has zeros are and .

General form of polynomial function .

Substitute and in the general form.

The function is .

Graph:

Graph the function .

Observe the graph:

The graph is shows end behavior is to .

The domain of the equation is  .

Solution :

(1) The value of is .

(2) The polynomial function .