Unable to do fundamental factoring

[Neil6790]

I have been trying this problem for a long time now.

Factor the polynomial t^7+2t^6-24t^5.

So far I came up with t^n(t+x)(t+y). I have no clue on how to work this out because i am only able to do them to the 2nd degree. I can really use the help.



Thanks,
Neil

 

[rock.freak667]

t^7+2t^6-24t^5

write t⁷ as t²*t⁵ and simliarly t⁶ as t*t⁵.

see what you can do now?

 

[Neil6790]

Oh wow indeed i was able to do it.

I was able to get t^5(t+6)(t-4)

thanks a lot for the help