Problem #PRU-64409

Problems Calculus Derivative Increasing and decreasing. Researching functions Algebra and arithmetic Surds. Rational powers. Irrational equations.
 15–16  3.0

Problem

Prove that the polynomial \(P (x)\) is divisible by its derivative if and only if \(P (x)\) has the form \(P(x) = a_n(x - x_0)^n\).