CAIE P3 2002 June — Question 3

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2002
SessionJune
TopicFactor & Remainder Theorem
TypeFind constants with divisibility condition
3 The polynomial \(x ^ { 4 } + 4 x ^ { 2 } + x + a\) is denoted by \(\mathrm { p } ( x )\). It is given that ( \(x ^ { 2 } + x + 2\) ) is a factor of \(\mathrm { p } ( x )\).
Find the value of \(a\) and the other quadratic factor of \(p ( x )\).
This paper (10 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10