How do you simplify #(x^3 - 2x^2 - 3x)/(2x^2 - 6x)#?
You can start by factoring out what's multiplying all the terms both in the numerator and denominator; then, we can find the roots of what's left and rewritethe fraction as a quotient of factors.
Now, let's find the roots of the quadratic:
And about the denominator, we have that
Now, rewriting it all over again:
Thus, the final answer is