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