Find all of the roots to the polynomial equation [math]4x^3 – x^2 + 36x – 9 = 0[/math].
[list=1] [*]List all the possible rational roots. [*]Determine the number of possible roots of the polynomial equation. [*]Test each possible rational root to find one root. [*]Use synthetic division to find the roots of the depressed polynomial equation. [*]List the roots of the original polynomial equation. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math III[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.