CAIE P3 2020 November — Question 7

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2020
SessionNovember
TopicRoots of polynomials

7
  1. Verify that \(- 1 + \sqrt { 5 } \mathrm { i }\) is a root of the equation \(2 x ^ { 3 } + x ^ { 2 } + 6 x - 18 = 0\).
  2. Find the other roots of this equation.