PAPER 1 12015 2 The polynomial f(x)-ax-15x²+bx-2 has a factor of 2x-1 and a remainder of 5 when divided by x-1. (1) Show that b-8 and find the value of a. (ii) Using the values of a and b from part (1), express f(x) in the form (2x-1) g(x), where g(x) is a quadratic factor to be found. ) Show that the equation f(x) = 0 has only one real root. VENT

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