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(d) Obtain the binomial expansion of (2x - 1). [4 marks] (f ) A function, f, is such that f (x) =x3 +x3 -4x-4 wheref

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(d) Obtain the binomial expansion of (2x - 1). [4 marks] (f ) A function, f, is such that f (x) =x3 +x3 -4x-4 wheref (-1)=0. Factorize f(x) completely. [5 marks] (c) A length of string is cut into 10 pieces such that the shortest and longest pieces measure 0.2 metres and 1 metre, respectively. Further, when the 10 pieces are arranged in order of length, there is a constant difference, d, between consecutive pieces. Find the value of d, giving your answer correct to 3 decimal places. [3 marks]

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