If you can break down these 8 questions so that I can understand them and practice I'd appreciate it, I want to learn HOW to get the answer not just getting the answer!

1.) Form a polynomial whose zeros and degree are given.

Zeros: 4, multiplicity1; 3, multiplicity2; Degree: 3

Show a polynomial with integer coefficients and a leading coefficient of 1 in the box below.

f(x)= ______

2.)Find a polynomial function with the zeros -2, 1, 4 whose graph passes through the point (7,486)

f(x)=_______

3.) Find a polynomial function of degree 4 with the zeros -2 (multiplicity 2) and 2 (multiplicity 2),whose graph passes through the point (4,576)

f(x)=_______

4.) For the polynomial function f(x)=6(x²+4)²(x-4)³ answer the following questions.

(a) List each real zero and its multiplicity.

(b) Determine whether the graph crosses or touches thex-axis at eachx-intercept.

(c) Determine the maximum number of turning points on the graph.

(d) Determine the endbehavior; thatis, find the power function that the graph of f resembles for large values of |x|

Select the correct choice belowand, ifnecessary, fill in the answerlines to complete the choice.

A. The graph crosses thex-axis at _____

(Show an integer or a simplified fraction. Use a comma to separate answers asneeded.)

B. The graph touches thex-axis at _____

(Show an integer or a simplified fraction. Use a comma to separate answers asneeded.)

C. The graph touches thex-axis at _____and crosses at _____

(Type integers or simplified fractions. Use a comma to separate answers asneeded.)

D. The graph neither crosses nor touches thex-axis.

The maximum number of turning points on the graph is ___

The power function that the graph of f resembles for large values of |x| is y=___

5.) For the polynomial functionbelow:

(a) List each real zero and its multiplicity.

(b) Determine whether the graph crosses or touches thex-axis at eachx-intercept.

(c) Determine the maximum number of turning points on the graph.

(d) Determine the endbehavior; thatis, find the power function that the graph of f resembles for large values of |x|.

f(x)=(x-4)³(x+5)²

A. The graph crosses thex-axis at _____

(Show an integer or a simplified fraction. Use a comma to separate answers asneeded.)

B. The graph touches thex-axis at _____

(Show an integer or a simplified fraction. Use a comma to separate answers asneeded.)

C. The graph touches thex-axis at _____and crosses at _____

(Type integers or simplified fractions. Use a comma to separate answers asneeded.)

D. The graph neither crosses nor touches thex-axis.

The maximum number of turning points on the graph is ___

The power function that the graph of f resembles for large values of |x| is y=___