Verified answer

x-2 = 0

x = 2

2|1..-3..-1..6

...1..-1..-3..0

x³:x = x² --> x²-x-3

Q=x²-x+1

R=8

resto = P(2) = 8-12-2+6 = 0 , não existe resto

Q(x) = X² +BX+C

X³-3X²-X+6 = (X-2) * ( X² + BX + C)

X³-3X²-X+6 = X³ + BX² + CX -2X² - 2BX -2C

X³ = X³

-3X² = (B-2) X². . . . . . . ..B = -1

-1X = (C-2B)X. . ... . . . ..-1=-3-2*-1

6 = -2C. . . . . . . . . . . . . ..C=-3

Q(X) = X²-X-3

R(X0 = 0

====================================