SPS SPS FM Pure 2023 November — Question 2

Exam BoardSPS
ModuleSPS FM Pure (SPS FM Pure)
Year2023
SessionNovember
TopicFactor & Remainder Theorem
TypeStandard verify, factorise, solve
2. $$\mathrm { f } ( x ) = x ^ { 3 } + 4 x ^ { 2 } + x - 6$$
  1. Use the factor theorem to show that \(( x + 2 )\) is a factor of \(\mathrm { f } ( x )\).
  2. Factorise f(x) completely.
  3. Write down all the solutions to the equation $$x ^ { 3 } + 4 x ^ { 2 } + x - 6 = 0$$ [BLANK PAGE]
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