SOLUTION: how do you factor t^5 - 29t^3 + 100t??

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Question 535704: how do you factor t^5 - 29t^3 + 100t??
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
t%5E5-29t%5E3%2B100t First factor a t.
t%28t%5E4-29t%5E2%2B100%29 Now you can rewrite the trinomial interms of t%5E2 thus:
t%28%28t%5E2%29%5E2-29%28t%5E2%29%2B100%29 Now factor the re-written trinomial.
t%28t%5E2-4%29%28t%5E2-25%29 Now you factor the two "difference of squares" factors, recalling that:A%5E2-B%5E2+=+%28A%2BB%29%28A-B%29.
highlight%28t%28t%2B2%29%28t-2%29%28t%2B5%29%28t-5%29%29