Find an nth degree polynomial function with real coefficients satisfying the given conditions. 9) n = 4;3, -, and 1 + 3i are zeros; f(1) =-54Find a rational zero of the polynomial function and use it to find all the zeros of the function. 7) f(x) =x4 -4x3 +22x2 - 36x- 208 ppt Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. 8) x4+ 5x3- 2x2- 18x- 12 =011 Solve the problem. 15) The total profit function P(x) for a company producing x thousand units is given by P(x) =-2x2+30x- 100. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x) > 0.] 12