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Find a and b so that the rational function f(x) = (a*x^4 + b*x^3 + 3) / (x3 - 2) has an oblique asymptote given by y = 2x - 3

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f(x) is a quadratic function such that f(1) = 3 and f(5) = 3. Find the x coordinate of the vertex of the graph of f If a^2 - b^2 = 8 and a*b = 2, find a^4 + b^4