Name: SAT Math Help & School Math Mastery
Availability: InStock

Let $p$ , $q$ , and $r$ be the distinct roots of the polynomial $x^{3} - 18 x^{2} + 75 x - 50$ . It is given that there exist real numbers $A$ , $B$ , and $C$ such that

\frac{1}{s ^{3} - 18 s ^{2} + 75 s - 50} = \frac{A}{s - p} + \frac{B}{s - q} + \frac{C}{s - r}

for all $so t \in p, q, r$ . What is $\frac{1}{A} + \frac{1}{B} + \frac{1}{C}$ ?