CAIE FP1 2011 November — Question 1

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2011
SessionNovember
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicFactor & Remainder Theorem

1 The equation \(x ^ { 3 } + p x + q = 0\) has a repeated root. Prove that \(4 p ^ { 3 } + 27 q ^ { 2 } = 0\).

1 The equation $x ^ { 3 } + p x + q = 0$ has a repeated root. Prove that $4 p ^ { 3 } + 27 q ^ { 2 } = 0$.

\hfill \mbox{\textit{CAIE FP1 2011 Q1}}