Question 1000452


{{{f(x)=x^4+5x^3+8x^2+3x-4}}} is divided by {{{g(x)=x^2-8x+9}}}
 
---------------({{{x^2+13x+103}}}
({{{x^2-8x+9}}})|{{{x^4+5x^3+8x^2+3x-4}}}
--------------{{{x^4-8x^3+9x^2}}}................subtract
---------------{{{0+13x^3-x^2}}}...............add next term from above:{{{3x}}}
-----------------{{{13x^3-x^2+3x}}}
-----------------{{{13x^3-104x^2+117x}}}................subtract
-------------------------{{{103x^2-114x}}}...........add next term {{{-4}}}
-------------------------{{{103x^2-114x -4}}}
-------------------------{{{103x^2-824x+927}}}................subtract
-----------------------------....{{{710x-931}}}=>reminder

so, you have:

{{{x^4+5x^3+8x^2+3x-4 = (x^2+13x+103)* (x^2-8x+9)+(710x-931)}}}