(x2 - 4) / (2 - x) = (x + 2) (x - 2) / -(x - 2) = -(x + 2) = -x - 2
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(x2+3x-4) (x-4)
(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).
(x-2)(x+2)= x2+2x-2x-4= x2-4
4
x2 + 2x + 2 = 0 Use the quadratic formula: x = (-2 +- sqrt(4 - 8))/2 x = (-2 +- 2i)/2 = -1 +- i