A new property of arbitrary complex polynomials

A new property of an arbitrary complex polynomial $ P(z) $ P(z) related to its derivative is established. It turns out that for arbitrary three values $ a_{1} $ a1, $ a_{2} $ a2 and $ a_{3} $ a3, there are lower bounds for $ |P(z)| $ |P(z)| when z belongs to the set of $ a_{1} $ a1, $ a_{2} $ a2, $ a_{3} $ a3 points of $ P(z) $ P(z).