Please generate answers to questions #43, 47, 55 in picture.

Please show all work.

620Pre-Calculus/precalculus-mathematics_for_calculus-j._stewart_1._redlin_and_s.. + 2 & 1 nd D are 42. P(x) = x - x+x+5, c= -1 x ) by 43. P(x) - x3 + 2x2 - 7, c =-2 44. P(x) = 2x3 - 21x2 + 9x - 200, c = 11 45. P(x) = 5x4 + 30x3 - 40x2 + 36x + 14, c= -7 46. P(x) = 68 + 10x + x + 1, c= -2 47. P(x) = x - 3x - 1, c= 3 48. P(x) = -2x6 + 7x5 + 40x4- 7x2+ 10x+ 112, -3 49. P( x) = 3x3 + 4x2 - 2x + 1, c= 3 3x + 1 50. P( x) = x- x+1, c=$ 51. P(x) = x3 + 2x- - 3x - 8, c=0.1 ient and 52. Remainder Theorem Let P(x) = 6x 40x + 16x - 200x 1 6013 69x- + 13x - 139 + 3 Calculate P(7) by (a) using synthetic division and (b) substi tuting x = 7 into the polynomial and evaluating directly. -2 53-56 - Factor Theorem Use the Factor Theorem to show that x - c is a factor of P(x) for the given value(s) of c. -53. P(x) 3x 54. P(x) + 2x 55. P(x) = 203 + 7x + 6x -5. 56. P(x) = x4+ 3x3 - 1 16 x 27x 63, c = 3, -3 he quotient 57-62 = Factor Theorem Show that the given value(s) of c are zeros of P(x) , and find all other zeros of P(x). 57. P(x) = x+ 2x - 9x - 18, c= -2 58. P(x) - x3- 5x - 2x + 10, 59. P(x) = x3- 1x + 15, c= 3 - 9x + 1 60. P(x) - 3x- x 21x Ilx + 6, -2, 3