Question

hallar el valor de K sabiendo que el polinomioQ(x)=-x+4x-2x-k es multiplo de x-3

Answer 1

Q(x) = -x³+4x²-2x-k
Q(3) = -(3)³+4(3)²-2(3)-k = 0                   (Teorema del Residuo)
Q(3) = -27 + 36  -  6   -k = 0
                                   -k = 27 - 36 + 6
                                   -k = -2
                                    k = 2