HW 1130 1-6 List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). 1. P(x) = x3 - 4x2 + 3 2. Q(x) = x4 - 3x3 - 6x + 8 3. R(x) = 2x5 + 3x3 + 4x2 - 8 4. S(x) = 6x4 - x2 + 2x + 12 5. T(x) = 4x4 - 2x2 - 7 6. U(x) = 12x5 + 6x3 - 2x - 8 For the following problems, list how many possible positive roots, negative roots and non-real roots: 59. P(x) = x3 - x2 - x - 3 60. P(x) = 2x3 - x2 + 4x - 7 61. P(x) = 2x6 + 5x4 - x3 - 5x - 1 62. P(x) = x4+ x3 + x2 + x+ 12 63. P(x) = x5 + 4x3 - x2 + 6.x 64. P(x) = x8 - x5 + x4 - x3 + x2 - x+ 1 Show that x = -3 is a lower bound and x =1 is upper bound: 65. P(x) = 2x3 + 5x2 + x - 2; a= -3,b = 1