Solve the given polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first root.x4 - 3x - 66x2 - 74x - 12 = 0The solution set of the equation x* - 3x - 66x? - 74x - 12 = 0 is )(Simplify your answers. Type exact answers, using radicals as needed. Use a comma to separate your answers as needed.)

To solve the equation and obtain the first root and the solution set using rational root theore,…

Solve the given polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first root. x*- 3x3 - 66x2 - 74x – 12 = 0 The solution set of the equation x* - 3x - 66x² - 74x - 12 = 0 is O (Simplify your answers. Type exact answers, using radicals as needed. Use a comma to separate your answers as needed.)