Question 583759
To evaluate {{{(4t^2+2t-1)/(2t-1)}}}, use polynomial long division to get:



<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/long_div_3-7-2012.png">


From the work shown above, we see that the quotient is {{{2t+2}}} and the remainder is 1


So {{{(4t^2+2t-1)/(2t-1)}}} equals {{{2t+2}}} remainder 1


Put another way, {{{(4t^2+2t-1)/(2t-1)=2t+2+1/(2t-1)}}}


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