A company calculates profit P using the formula P = x² + 5x - 14, where x is the number of units sold in thousands. By factorising this expression, find the values of x for which P = 0.

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Question

A company calculates profit P using the formula P = x² + 5x - 14, where x is the number of units sold in thousands. By factorising this expression, find the values of x for which P = 0.

Accepted Answer

x = -7 and x = 2 — Award 1 mark for correct factorisation: (x + 7)(x - 2) = 0. Award 1 mark for solving to give x = -7 or x = 2. B is incorrect — wrong signs in factors. C is incorrect — both factors should not be negative. D is incorrect — factor pair does not multiply to give -14.

Answer

x = 7 and x = 2

Answer

x = -7 and x = 2

Answer

x = -7 and x = -2

Answer

x = 7 and x = -2

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