Question 5
Let $P(x)$ be a polynomial of degree 3 and $x_1,x_2,x_3$ are the solutions of $P(x)=0$. Let
$$\frac{P(1/3)-P(-1/3)}{P(0)}=8,\qquad\frac{P(1/4)-P(-1/4)}{P(0)}=9$$
and $x_1+x_2+x_3=35$. Find the value of
$$\frac{x_2+x_3}{x_1}+\frac{x_1+x_3}{x_2}+\frac{x_1+x_2}{x_3}.$$
$$\frac{P(1/3)-P(-1/3)}{P(0)}=8,\qquad\frac{P(1/4)-P(-1/4)}{P(0)}=9$$
and $x_1+x_2+x_3=35$. Find the value of
$$\frac{x_2+x_3}{x_1}+\frac{x_1+x_3}{x_2}+\frac{x_1+x_2}{x_3}.$$