Question 1181488


{{{p(x) = x^3-5x^2-3x+2}}} is divided by {{{x-1}}}

..................({{{x^2-4x-7}}}
{{{x-1}}}|{{{ x^3-5x^2-3x+2}}}
........................{{{x^3-x^2}}}..........subtract
...........................{{{ -4x^2}}}...bring {{{-3x}}} down
...........................{{{ -4x^2-3x}}} 
...........................{{{ -4x^2+4x}}} .........subtract
...................................{{{ -7x}}}...bring {{{2}}} down
...................................{{{ -7x+2}}}
...................................{{{ -7x+7}}}.........subtract
.........................................{{{ -5}}}....reminder {{{r=-5}}}


{{{p(x) /(x-1)= q(x)+ r/(x-1)}}}

{{{(x^3-5x^2-3x+2)/(x-1)=x^2-4x-7-5/(x-1)}}}


answer: 

b. {{{x^2-4x-7}}}