Question 270263
Performing polynomial long division gets us:


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/long_div1.png">



We can see that the quotient is {{{5x+12}}} and the remainder is {{{26}}}. This means that {{{(5x^2-3x-10)/(x-3)=5x+12+26/(x-3)}}}