Problem #PRU-61022

Problems Calculus Derivative Derivative and multiple roots Algebra Polynomials Division of polynomials with remainders. The greatest common divisor (GCD) and the least common multiple (LCM) for polynomilas.
 14–16  3.0

Problem

For which \(A\) and \(B\) does the polynomial \(Ax^{n + 1} + Bx^n + 1\) have the number \(x = 1\) at least two times as its root?