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LFM Stats And Pure
Polynomial Division & Manipulation
Q3
CAIE P2 2012 November — Question 3
Exam Board
CAIE
Module
P2 (Pure Mathematics 2)
Year
2012
Session
November
Topic
Polynomial Division & Manipulation
3 The polynomial \(x ^ { 4 } - 4 x ^ { 3 } + 3 x ^ { 2 } + 4 x - 4\) is denoted by \(\mathrm { p } ( x )\).
Find the quotient when \(\mathrm { p } ( x )\) is divided by \(x ^ { 2 } - 3 x + 2\).
Hence solve the equation \(\mathrm { p } ( x ) = 0\).
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