Question 1183420


..................({{{2x^2-7x+18}}}
{{{ x^2+x-2}}} | {{{2x^4 - 5x^3 + 7x^2 - x + 6}}} 
.......................{{{2x^4+2x^3-4x^2}}}.......................subtract
..............................{{{-7x^3+11x^2}}}.............bring down {{{-x}}}
..............................{{{-7x^3+11x^2-x}}}
..............................{{{-7x^3-7x^2+14x}}}....................subtract
.....................................{{{18x^2-15x}}}.........bring down {{{6}}}
.....................................{{{18x^2-15x+6}}}
.....................................{{{18x^2+18x-36}}}..................subtract
...............................................{{{-33x+42}}}..=>reminder


{{{2 x^4 - 5 x^3 + 7 x^2 - x + 6 = (2 x^2 - 7 x + 18)(x^2 + x - 2) + (42 - 33 x)}}}