Please generate answers to questions 13 and 21 in picture.

Please show all work.

thanks!!

274 CHAPTER 3 . Polynomial and Rational Functions 9-14 - Division of Polynomials Two polynomials P and D are 42. P(x) = x given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form 43. P(x) = x+ P(x) = D(x) . Q(x) + R(x) 44. P(x) = 2x - 9. P(x) = -x3 - 2x + 6, D(x) = x + 1 45. P(x) = 5x* + 10. P(x) = x* + 2x3 - 10x, D(x) = x - 3 46. P(x) = 6x5 + 11. P(x) = 2x3 - 3x2 - 2x, D(x) = 2x - 3 47. P(x) = x7- 12. P(x) = 4x3 + 7x + 9, D(x) = 2x+ 1 48. P(x) = -2x6 13. P(x) = 8x4 + 4x3 + 6x2, D(x) = 2x2+ 1 49. P(x) = 3x3 + 14. P(x) = 27x5 - 9x4 + 3x2 - 3, D(x) = 3x2 - 3x + 1 50. P(x) = 51. P(x) = 3 + 15-24 - Long Division of Polynomials Find the quotient and remainder using long division. 52. Remainder The x - 3x + 7 P(x ) 15. 16. x + 2x - x + 1 x - 2 x+3 17. 4x' + 2x2 - 2x - 3 x + 3x2 + 4x + 3 Calculate P(7) 18. 2x + 1 3x + 6 tuting x = 7 int -19. x' + 2x + 1 x* - 3x + x - 2 20. 53-56 - Factor The x - x+ 3 x2 - 5x + 1 x - c is a factor of 21 6x + 2x2 + 22x 9x- - x + 5 53. P(x) = x - 3x 22. 2.x2 + 5 3x2 - 7x 54. P(x) - x3 + 2x 23. * + x 4 + x 2 + 1 24. 2x5 - 7x4 - 13 55. P(x) = 2x3 + 7 x 2 + 1 4x2 - 6x + 8 56. P(x) = x4 + 3x 25-38 . Synthetic Division of Polynomials Find the quotient and remainder using synthetic division. 57-62 . Factor The zeros of P(x), and fi 25. 2x2 - 5x + 3 -r+x-4 26. .57. P(x) = x'+ 2x x- 3 x + 58. P(x) =x3- 5x2 27. 3x2 + x 4x2- 3 28. 59. P(x) = x-x x +1 x - 2