Problem #PRU-61020

Problems Calculus Derivative Derivative and multiple roots Algebra Polynomials Division of polynomials with remainders, GCD and LCM
 14–16  3.0

Problem

Construct the polynomial \(R (x)\) from the problem 61019 if:

a) \(P (x) = x^6 - 6x^4 - 4x^3 + 9x^2 + 12x + 4\);

b)\(P (x) = x^5 + x^4 - 2x^3 - 2x^2 + x + 1\).