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Explanation:
n = numerator polynomial = unknown (what we want to solve for)
d = denominator polynomial = x-2
q = quotient = x-6
r = remainder = -6
Based on that, we can say,
n/d = q + r/d
n = q*d + r ... multiply every term by d
n = (x-6)(x-2) + (-6) .... substitution
n = x^2-8x+12-6
n = x^2-8x+6
Dividing (x^2-8x+6) over (x-2) leads to a quotient of (x-6) and a remainder of -6.
