Given the equation [math]x^3 + 4x^2 – 3x – 18 = 0[/math], state the number and type of roots of the equation if one root is [math]–3[/math].

[list=1][br][*]Use synthetic division to find the depressed polynomial.[br][/*][*]Factor the depressed polynomial to find the remaining factors.[br][/*][*]State the number of roots and type of roots of the 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.