SOLUTION: Factor the trinomial; t^3-2t^2-24t Select the correct choice below and of necessary fill in the anawer box to complete your choice a) t^3-2t^3-24t=__?__ factor completely

Algebra ->  Rational-functions -> SOLUTION: Factor the trinomial; t^3-2t^2-24t Select the correct choice below and of necessary fill in the anawer box to complete your choice a) t^3-2t^3-24t=__?__ factor completely       Log On


   

Question 348090: Factor the trinomial;
t^3-2t^2-24t
Select the correct choice below and of necessary fill in the anawer box to complete your choice
a) t^3-2t^3-24t=__?__ factor completely
b) The trinomial is not factorable
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
t%5E3-2t%5E2-24t First, since t is a common factor in all three terms, you can factor a t.
t%28t%5E2-2t-24%29 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%5E2-2t-24+=+%28t%2B4%29%28t-6%29 and finally...
t%5E3-2t%5E2-24t+=+highlight%28t%28t%2B4%29%28t-6%29%29