Edexcel Paper 1 2021 October — Question 1

Exam BoardEdexcel
ModulePaper 1 (Paper 1)
Year2021
SessionOctober
TopicFactor & Remainder Theorem
TypeSingle unknown constant

1. $$f ( x ) = a x ^ { 3 } + 10 x ^ { 2 } - 3 a x - 4$$ Given that \(( x - 1 )\) is a factor of \(\mathrm { f } ( x )\), find the value of the constant \(a\).
You must make your method clear.