27-35 all please help!

In Exercises 27-30, find the polynomial function with leading coeffi- cient 2 that has the given degree and zeros. 27. Degree 3, with -2, 1, and 4 as zeros 28. Degree 3, with - 1, 3, and -5 as zeros 29. Degree 3, with 2, 2, and 2 as zeros 30. Degree 4, with -3, -1, 0, and ? as zeros In Exercises 31 and 32, using only algebraic methods, find the cubic function with the given table of values. Check with a grapher. 31. x -4 0 3 f (x ) 0 180 0 32. X -2 -1 f ( x ) 0 24 0 In Exercises 33-36, use the Rational Zeros Theorem to write a list of all potential rational zeros. Then determine which ones, if any, are zeros. 33. f(x) = 6x3 - 5x - 1 34. f(x) = 3x3 - 7x2 + 6x - 14 35. f(x) = 2x3 - x2 - 9x + 9 36. f(x) = 6x4 - x3 - 6x2 - x - 12 In Exercises 37-40, use synthetic division to prove that the number k is an upper bound for the real zeros of the function f. 37. k = 3; f(x) = 2x3-4x2 + x- 2 38. k = 5; f(x) =2x3 - 5x2 - 5x - 1 39. k = 2; f(x) = x4 - x3 + x2+ x -12 40. k = 3; f(x) = 4x4 - 6x3- 7x2 + 9x + 2 In Exercises 41-44, use synthetic division to prove that the number k is a lower bound for the real zeros of the function f. 41. k = -1; f(x) = 3x3 - 4x2 + x+3 42. k = -3; f(x) =x3+2x2+2x+5 43. k = 0;f(x) =x3-4x2 +7x -2 44. k = -4; f(x) = 3x3 - x2- 5x -3 In Exercises 45-48, use the upper and lower bound tests to decide In E whether there could be real zeros for the function outside the window valu shown. If so, check for additional zeros. 45. f(x) = 6x4 - 11x3-7x2 + 8x - 34 [-5, 5] by [-200, 1000]