Question

Let P(x) be a non-zero polynomial with integer coefficients. If P(n) is divisible by n for each positive integer n, what is the value of P(0)?Answer is 00.Provide solution.10 points.

Answer 1

if P(n) is divisible by n then it means P(x) is divisible by x i.e. x is a factor of P(x) then we can write P(x)= x.G(x)
Hence P(0)= 0.G(0) =0