Question

What is a necessary and a sufficient condition for a polynomial P(x) to be divisible by (x − a)(x − b)(x − c) ?

Answer 1

That P(x) can be factored as (x − a)(x − b)(x − c) times R(x) where R(x) is itself another polynomial.

Answer 2

well its the factor theorem

P(a) = 0, P(b) = 0 and P(c) = 0