Question 159519
{{{f(x)=(x^3-7x-6)/(x^2+3x+2)}}} Start with the given equation




{{{f(x)=((x-3)(x+2)(x+1))/(x^2+3x+2)}}} Factor the numerator (hint: use the graph to help you factor)



{{{f(x)=((x-3)(x+2)(x+1))/((x+2)(x+1))}}} Factor the denominator 



{{{f(x)=((x-3)cross((x+2)(x+1)))/(cross((x+2)(x+1)))}}} Cancel out like terms.



{{{f(x)=x-3}}} Simplify. Take note that {{{x<>-2}}} or {{{x<>-1}}}