Question 195950
Simply use polynomial long division:


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/poly_div1.gif">



Since the quotient is {{{5b^2-2b+7}}} and the remainder is 7, this means that 



{{{(20b^3+17b^2+18b+42)/(4b+5)=5b^2-2b+7+7/(4b+5)}}}