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To differentiate a simple equation: y= 4x^3 + 7x

Solve the simultaneous equations xy=2 and y=3x+5.

Factorise the following quadratic x^2 - 8 + 16

f(x) = 3x^3 – x^2 – 20x – 12 (a) Use the factor theorem to show that (3x + 2) is a factor of f(x). [2 marks] (b) Factorise f(x) fully. [3 marks]

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