The roots are -2.6180 and -0.3820
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3 - 3x + x2 - x3 = (1 - x)(x2 + 3)
(3x4 + 2x3 - x2 - x - 6)/(x2 + 1)= 3x2 + 2x - 4 + (-3x - 2)/(x2 + 1)= 3x2 + 2x - 4 - (3x + 2)/(x2 + 1)where the quotient is 3x2 + 2x - 4 and the remainder is -(3x + 2).
x2 + x + 6
x^2 + 3x - 2; -x^2 - 3x + 2andx - 1; 1 - x
(f - g)(x) = f(x) - g(g) = (3x + 1) - (x2 - 6) = -x^2 + 3x + 7