Question 348090
Factor completely:
{{{t^3-2t^2-24t}}} First, since t is a common factor in all three terms, you can factor a t.
{{{t(t^2-2t-24)}}} Now for the trinomial. You need to find two factors of -24 whose sum is -2.
-24 = 4*(-6) and 4+(-6) = -2, so...
{{{t^2-2t-24 = (t+4)(t-6)}}} and finally...
{{{t^3-2t^2-24t = highlight(t(t+4)(t-6))}}}