math homework

algebra homework and please read questions carefully

Form a polynomial whose zeros and degree are given.
Zeros: 5, multiplicity 1; 3, multiplicity 2; degree 3
Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.
f(x) = (Simplify your answer.)
For the polynomial function f(x) = – 4x? (x² -5),
(a) List each real zero and its multiplicity.
(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.
(c) Determine the maximum number of turning points on the graph.
(d) Determine the end behavior; that is, find the power function that the graph off
resembles for large values of [xl.
(a) What are the real zeros? Select the correct choice below and fill in any answer boxes in your choice.
O A. The real zeros are
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
B. There are no real zeros.
Which of the polynomial functions in the list might have the given graph?
Decide which of the polynomial functions in the list might have the graph below. (More than one answer
may be possible.)
(Type a, b, c, d, e, or f. Use a comma to separate answers as needed.)
(a) y= – 4x(x – 1)(x – 2)
(b) y=x²(x – 1)2(x – 2)
(c)y= 3x(x – 1)(x – 2)
(d) y= x(x – 1)2(x – 2)2
(e)y= 3x(1 – x)(2 – x)
(f) y = -x(1 – x)(x – 2)
H
Analyze the polynomial function f(x) = (x – 5)(x-2)(x +4).
(a) Determine the end behavior of the graph of the function.
The graph of fresembles the graph of the power function y=
Analyze the polynomial function f(x) = (x + 9)?(x-6)2.
(a) Determine the end behavior of the graph of the function.
The graph of f resembles the graph of the power function y=