I have a given function:
$\displaystyle g(x) = \frac {ax^2+bx+c}{x+d} $
I have to find the:
Roots of this function.... am I able to find them at this variable? or I must subtitute a,b,c,d with a number?
Finding the roots means solving $\displaystyle g(x) =0$
$\displaystyle \frac{ax^2+bx+c}{x+d} = 0$
From the domain we know that $\displaystyle x \neq -d$. Given this condition multiply both sides by $\displaystyle x+d$.
$\displaystyle ax^2+bx+c=0$ is standard form for a quadratic equation and hence easy to solve for x in terms of a,b and c