Problem #PRU-61020

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

Problem

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

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

b) $P (x) = x^{5} + x^{4} - 2 x^{3} - 2 x^{2} + x + 1$ .

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