CAIE P2 2021 June — Question 5

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2021
SessionJune
TopicPolynomial Division & Manipulation
5
  1. Find the quotient when \(x ^ { 4 } - 32 x + 55\) is divided by \(( x - 2 ) ^ { 2 }\) and show that the remainder is 7 .
  2. Factorise \(x ^ { 4 } - 32 x + 48\).
  3. Hence solve the equation \(\mathrm { e } ^ { - 12 y } - 32 \mathrm { e } ^ { - 3 y } + 48 = 0\), giving your answer in an exact form.
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