CAIE P2 2019 March — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2019
SessionMarch
TopicPolynomial Division & Manipulation
4
  1. Find the quotient when \(4 x ^ { 3 } + 8 x ^ { 2 } + 11 x + 9\) is divided by ( \(2 x + 1\) ), and show that the remainder is 5 .
  2. Show that the equation \(4 x ^ { 3 } + 8 x ^ { 2 } + 11 x + 4 = 0\) has exactly one real root.
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