Problem #PRU-61022

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

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?

To see the solution register and get verified.