1. Consider the equation 2x³-x²-13x-6=0. a. Use Descartes rule of signs to determine the number of possible positive and the number of possible negative roots. b. Use Descartes Rational Root Theorem to see what the possible rational roots are. c. Verify that x = 3 is a root. d. Use long division to reduce the equation to a quadratic equation. e. Solve the resulting quadratic equation to find the remaining root.