SOLUTION: factor t^2 + 1/2t + 1/16

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Question 760563: factor t^2 + 1/2t + 1/16
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
t%5E2+%2B+t%2F2+%2B+1%2F16
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t%5E2+%2B+t%2F4+%2B+t%2F4+%2B+1%2F16 .... split the t/2 into t/4 and t/4
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t%2A%28t%2B1%2F4%29+%2B+%281%2F4%29%2A%28t%2B1%2F4%29 .... t is a common factor for 1st 2 terms, 1/4 for the second 2 terms
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%28t%2B%281%2F4%29%29%2A%28t%2B%281%2F4%29%29
=
%28t%2B%281%2F4%29%29%5E2
The two factors are t%2B%281%2F4%29%29, t%2B%281%2F4%29%29
:)