Question 1136383


{{{(5*y^2-7*y+1)/(y-1) }}}

use long division

..........({{{5y-2}}}
{{{(y-1)}}} |{{{5y^2-7y+1}}}
.....................{{{5y^2-5y}}}...........subtract
.............................{{{-2y}}}....bring down {{{1}}}
.............................{{{-2y+1}}}
.............................{{{-2y+2}}}........subtract
..................................{{{-1}}}->reminder (if you subtract 2 from 1:{{{1-2=-1}}})

Dividend= Quotient*Divisor + Remainder

{{{5 y^2 - 7 y + 1 = (5 y - 2) * (y - 1) + (-1)}}}

{{{5 y^2 - 7 y + 1 = (5 y - 2) * (y - 1) -1}}}