document.write( "Question 1136383: This is my latest problem if some one may wish to kindly share i hope i have done the following correctly (5*y^2-7*y+1)/(y-1) this is changing a fraction into a mixed expression i have seen the step by step answer, im aware that a similarity to long division is done here. But im a bit baffelled how -1 is the numerator to part of the final answer, may someone please clearly state how this is achieved Kind regards mike. \n" ); document.write( "
Algebra.Com's Answer #754152 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"%285%2Ay%5E2-7%2Ay%2B1%29%2F%28y-1%29+\"\r
\n" ); document.write( "\n" ); document.write( "use long division\r
\n" ); document.write( "\n" ); document.write( "..........(\"5y-2\"
\n" ); document.write( "\"%28y-1%29\" |\"5y%5E2-7y%2B1\"
\n" ); document.write( ".....................\"5y%5E2-5y\"...........subtract
\n" ); document.write( ".............................\"-2y\"....bring down \"1\"
\n" ); document.write( ".............................\"-2y%2B1\"
\n" ); document.write( ".............................\"-2y%2B2\"........subtract
\n" ); document.write( "..................................\"-1\"->reminder (if you subtract 2 from 1:\"1-2=-1\")\r
\n" ); document.write( "\n" ); document.write( "Dividend= Quotient*Divisor + Remainder\r
\n" ); document.write( "\n" ); document.write( "\"5+y%5E2+-+7+y+%2B+1+=+%285+y+-+2%29+%2A+%28y+-+1%29+%2B+%28-1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"5+y%5E2+-+7+y+%2B+1+=+%285+y+-+2%29+%2A+%28y+-+1%29+-1\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );