Hello everybody, could you please give me a hand with this sample test

1-form a polynomial whose zeros and degree are given

zeros : -1, 1, 3; degree 3

2-for the polynomial function, a- list each zero and its multiplicity, b= determine whether the graph croses or touches the x axis at each x intercept. C find the power function that the graph of f resembles for large values of |x|

f(x)= (x-5)^3 (x+4)^2

3- for the given polynomial function f:

a-find the x and y intercepts of f

b-determine whether the graph of f crosses or touches the x axis at each x intercept

c-end behavior. Find the poer funcion that the graph of f resembles for large values of |x|

d- determine the maximum number of turning points on the graph of f

e- Use the x intercepts to find the intervals on which the graph of f is above and below the x axis

f- plot the points obtained in parts a- and e- and use the remaining information to conect them with a smooth, continuos curve

F(x)= (x-1)(x-2)(x-4)

4- find the vertical, horizontal and oblique asymptopes, if any, in the given rational function

3x+5

5-find the vertical, horizontal and oblique asymptotes, of the given rational function

f(x)-=3x+5/x-6

6-Use the factor theorem to determine whether x-c is a factor of f(x)

f(x) = -4x^7+x^3-x^2+2

7-List the potential zeros of each polynomial function

f(x)=6x^4-x^2+9

8-Use Descartes' rule of signs and the rational zeros theorem to find all real zeros in the given polynomial functions, use the zeros to factor f over the real numbers

f(x)= X^3+2x^2-5x-6

f(x)=2x^3+x^2+2x+1

9-Solve the given equation in the real number system

2x^3-3x^2-3x-5=0

10-

Use the intermediate value theorem to show that given polynomial function has a zero in the given interval

f(x) = 8x^4-2x^2+5x-1 {0,1}

11-In the following problem information is given about the polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f

Degree 4; zeros: i,1+i

12-Form a polynomial f(x) with real coefficients having the given degree and zeros

Degree 5; zeros: 2, -i;1+i

13-Use the given zero to find the remaining zeros of the given function

F(x) = 2x^4+5x^3+5x^2+20x-12 ; Zero: -2i

14-

Find the complex zeros of the given polynomial function. Write f in factored form

F(x) = x^4+5x^2+4

Thank you so much.