Question 155
Suppose $P(x)$ is a polynomial such that $P(1) = 1$ and
$$
\frac{P(2x)}{P(x+1)} = 8 - \frac{56}{x+7}
$$
for all real $x$ for which both sides are defined. Find $P(-1)$.
$$
\frac{P(2x)}{P(x+1)} = 8 - \frac{56}{x+7}
$$
for all real $x$ for which both sides are defined. Find $P(-1)$.