Question 1153477
............({{{x^3-3x^2+7x -16}}}
{{{x+3}}}|{{{x^4+0*x^3-2x^2+5x-7}}}
..........{{{x^4+3x^3}}}.....subtract
.............{{{-3x^3}}}.....bring down {{{-2x^2}}}
.............{{{-3x^3-2x^2}}} 
.............{{{-3x^3-9x^2}}} ....subtract
...................{{{7x^2}}} ....bring down {{{5x}}}
...................{{{7x^2+5x}}} 
...................{{{7x^2+21x}}} ....subtract
.......................{{{-16x}}}....bring down {{{-7}}}
.......................{{{-16x-7}}}
.......................{{{-16x-48}}}....subtract
...........................{{{ 41}}}-> reminder

{{{Q(x)=x^3-3x^2+7x -16}}} and reminder {{{41}}}


so, {{{x^4-2x^2+5x-7 = (x^3-3x^2 + 7x -16) * (x + 3) + 41}}}