Factor the polynomial [math]35xy^4 – 14x^4y^2z + 56x^3y^3z^3[/math] by finding the GCF. Verify your results using the Distributive Property.
[list=1] [*]Determine the common factors of the coefficients for each term. [*]Determine the greatest power of each variable common to all terms, and multiply this by the common factor from step 1 to complete the GCF. [*]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.