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Pearson Edexcel Level 3 GCEFurther Mathematics Advanced Subsidiary PAPER 1: Core Pure Mathematics

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1. P = 0 1 1 0  −    Q = 1 0 0 3   (a) (i) Describe fully the single geometrical transformation P represented by the matrix P. (ii) Describe fully the ... single geometrical transformation Q represented by the matrix Q. (4) The transformation P followed by the transformation Q is the transformation R, which is represented by the matrix R. (b) Determine R. (1) (c) (i) Evaluate the determinant of R. (ii) Explain how the value obtained in (c)(i) relates to the transformation R. (2 2. The cubic equation 9x3 – 5x2 + 4x + 7 = 0 has roots α, β and γ. Without solving the equation, find the cubic equation whose roots are (3α – 2), (3β – 2) and (3γ – 2), giving your answer in the form aw3 + bw2 + cw + d = 0, where a, b, c and d are integers to be determined. (5 [Show More]

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