Factor the polynomial [math]12x^3 + 30x^2 + 42x[/math] by finding the greatest common factor (GCF). Verify your results using the Distributive Property.

[list=1] [*]Determine the common factors of the terms’ coefficients and variables. [*]Write expressions for the remaining non-common factors. [*]Factor the original polynomial by writing it as the product of the GCF and a polynomial whose terms are the expressions found in the previous step. [*]Verify the result using the Distributive Property. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math II[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.