Pearson Edexcel Level 3 GCE Mathematics Advanced Subsidiary PAPER 1: Pure Mathematics 8MA0/01

Pearson Edexcel Level 3 GCE Mathematics Advanced Subsidiary PAPER 1: Pure Mathematics 8MA0/011. Find 8 3 2 x3 5 x − + x   ∫ d giving your answer in simplest form. (4) ___________________________________ ...

Pearson Edexcel Level 3 GCE Mathematics Advanced Subsidiary PAPER 1: Pure Mathematics 8MA0/011. Find 8 3 2 x3 5 x − + x   ∫ d giving your answer in simplest form. 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_____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ *P69201A0348* Turn over 3 Question 1 continued _____________________________________________________________________________________ _____________________________________________________________________________________ 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_____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 1 is 4 marks)4 *P69201A0448*  2. f(x) = 2x3 + 5x2 + 2x + 15 (a) Use the factor theorem to show that (x + 3) is a factor of f(x). (2) (b) Find the constants a, b and c such that f(x) = (x + 3)(ax2 + bx + c) (2) (c) Hence show that f(x) = 0 has only one real root. (2) (d) Write down the real root of the equation f(x – 5) = 0 (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ___________________________________