Question 276721
In order to simplify this, we can use polynomial long division.


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/long_div3.png">



So the quotient is {{{x^2+4x+2}}} and the remainder is 0. This means that {{{(x^3+x^2-10x-6)/(x-3)=x^2+4x+2+0/(x-3)}}} or more simply {{{(x^3+x^2-10x-6)/(x-3)=x^2+4x+2}}}



Note: consequently, this means that {{{x^3+x^2-10x-6=(x-3)(x^2+4x+2)}}} (just multiply both sides by {{{x-3}}})