Please generate answer to question #'s 67, 73, 75, 79 in picture.

Please show all work.

63-68 = Descartes' Rule of Signs Use Descartes' Rule of Signs olyno- to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. 63. P( x) = x - x - x - 3 64. P(x) = 2x3 - x + 4x - 7 65. P(x) = 2x6 + 5x4 - x3 - 5x - 1 66. P( x) = x+x+x+x+ 12 67. P(x) = x5 + 4x3 - x2+ 6x 68. P(x) = x8 - x5+ x4 - x3+x -x+1 69-76 _ Upper and Lower Bounds Show that the given values for a and b are lower and upper bounds for the real zeros of the polynomial. 69. P(x) = 2x3 + 5x2 + x - 2; a=-3,b=1 70. P(x) = x4 - 2x3 - 9x2 + 2x + 8; a= -3, b=5 71. P(x) = 8x3 + 10x2 - 39x + 9; a = -3,b=2 72. P(x) = 3x4 - 17x3 + 24x2 - 9x + 1; a =0,b=6 73. P(x) = x4 + 2x3 + 3x2 + 5x -1; a= -2,b= 1 74. P(x) = x4 + 3x3 - 4x2 - 2x - 7; a = -4, b=2 x - 12 75. P(x) = 2x4 - 6x3 + x2 - 2x + 3; a= -1,b=3 al zeros of 76. P(x) = 3x4 - 5x3 - 2x2 + x - 1; a= -1, b=2 ary, as in 77-80 = Upper and Lower Bounds Find integers that are upper and lower bounds for the real zeros of the polynomial. 77. P(x) = x3- 3x2 +4 78. P(x) = 2x3 - 3x2 - 8x + 12 79. P(x) = x4 - 2x3 + x2 - 9x + 2 80. P(x) = x5 - x* + 1 81-86 - Zeros of a Polynomial Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever