Problem #PRU-61022

Problems Calculus Derivative Derivative and multiple roots Algebra Polynomials Division of polynomials with remainders, GCD and LCM
 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?