Edexcel IALMathematicsGeneral Applications10 Marks
The polynomial $P(x)$ is given by $P(x) = x^3 - 4x^2 - 7x + 10$. (a) Show that $(x-1)$ is a factor of $P(x)$. (b) Hence, or otherwise, factorise $P(x)$ completely. (c) Sketch the graph of $y = P(x)$, showing the coordinates of the points where the graph crosses the coordinate axes.
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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