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STEP Support Programme

S3 2002 Q2

Could I get some help for the last part, please?

How can I derive the last result? I've tried to use again initial stem but it led me nowhere...

Try completing the square of $r^2-r+1$ and $r^2+r+1$ and compare the two

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University of Cambridge Mathematics Faculty: What do we look for?

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University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

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AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)