Mathematics  >  QUESTION PAPER & MARK SCHEME  >  Pearson Edexcel Level 3 GCEPearson Edexcel Level 3 GCE,. Mathematics Advanced PAPER 1: Pure Mathemat (All)

Pearson Edexcel Level 3 GCEPearson Edexcel Level 3 GCE,. Mathematics Advanced PAPER 1: Pure Mathematics 1. QUESTIONS AND MARKING SCHEME.

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1. f(x) = ax3 + 10x2 − 3ax − 4 Given that (x − 1) is a factor of f(x), find the value of the constant a. You must make your method clear. (3) ________________________________________________ ... _____________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________ 2. Given that f(x) = x2 − 4x + 5 x ∈  (a) express f(x) in the form (x + a)2 + b where a and b are integers to be found. (2) The curve with equation y = f(x) • meets the y-axis at the point P • has a minimum turning point at the point Q (b) Write down (i) the coordinates of P (ii) the coordinates of Q (2________________________________ ____________________________________________________1 [Show More]

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