Edexcel
Paper 1 – Pure Mathematics
Predicted Paper 2022
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2 hours allowed
Calculator Paper
Maximum Mark: 100
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, Question 1
𝑓(𝑥) = 𝑥 3 − 𝑎𝑥 2 − 5𝑥 + 3𝑎
Given that (𝑥 + 2) is a factor of 𝑓(𝑥), find the value of the constant 𝑎 .
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(Total 3 Marks)
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, Question 2
Prove algebraically that 𝑛3 + 5𝑛 − 1 is odd for all positive integers of 𝑛
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(Total 4 Marks)
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