Question: 5. [ Maximum mark: 8] Let f(x) = ax2 + bx + c for a, b, c E Q (a) Given that 4f(x) + f(1

5. [ Maximum mark: 8] Let f(x) = ax2 + bx + c for a, b, c E Q (a) Given that 4f(x) + f(1 - x) = 3x2, find the values of a, b, and c. (4) (b) Solve f(2x) - 8 = f(x). (4)

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