Question 1056896
{{{(x^5-3x^3+5x^2-12)/(x+2)}}}

= {{{x^4 }}} +{{{(-2x^4-3x^3+5x^2-12)/(x+2)}}}
= {{{x^4 - 2x^3}}} + {{{(x^3+5x^2-12)/(x+2)}}}
= {{{x^4 - 2x^3 + x^2}}} + {{{(3x^2-12)/(x+2)}}}
= {{{x^4 - 2x^3 + x^2 + 3x}}} + {{{(-6x-12)/(x+2)}}}
= {{{x^4 - 2x^3 + x^2 + 3x - 6}}}   (with no remainder)