Find all of the roots to the polynomial equation [math]4x^3 – x^2 + 36x – 9 = 0[/math].

[list=1][br][*]List all the possible rational roots.[br][/*][*]Determine the number of possible roots of the polynomial equation.[br][/*][*]Test each possible rational root to find one root.[br][/*][*]Use synthetic division to find the roots of the depressed polynomial equation.[br][/*][*]List the roots of the original polynomial equation.[br][/*][/list][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com/]www.walch.com[/url] for more information.