Question 144
The polynomial $P(x)$, of degree 42, takes the value 0 at the first 21 odd prime numbers and at their reciprocals (recall that the reciprocal of a positive integer $n$ is the rational number $1 / n$). What is the value of the ratio $P(2) / P(1 / 2)$?
(A) 0
(B) 1
(C) $2^{21}$
(D) $3^{21}$
(E) $4^{21}$
(A) 0
(B) 1
(C) $2^{21}$
(D) $3^{21}$
(E) $4^{21}$