Question 371281
{{{5x^3+15x^2+15x}}}
When factoring an expression, always start with the Greatest Common Factor (GCF). The GCF here is 5x:
{{{5x(x^2+3x+3)}}}
After the GCF you try any of the other factoring techniques:<ul><li>Factoring by patterns</li><li>Trinomial factoring</li><li>Factoring by grouping</li><li>Factoring by trial and error of the possible rational roots.</li></ul>
In this problem, however, none of these other techniques work on {{{x^2 + 3x + 3}}}. So we are done factoring!
{{{5x^3+15x^2+15x = 5x(x^2+3x+3)}}}