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UFM Pure
Roots of polynomials
Q1
CAIE FP1 2011 November — Question 1
Exam Board
CAIE
Module
FP1 (Further Pure Mathematics 1)
Year
2011
Session
November
Topic
Roots of polynomials
1 The equation \(x ^ { 3 } + p x + q = 0\) has a repeated root. Prove that \(4 p ^ { 3 } + 27 q ^ { 2 } = 0\).
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(12 questions)
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Q1
Q2
Q3
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Q5
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Q7
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Q9
Q10
Q11 EITHER
Q11 OR