OCR MEI C1 2016 June — Question 8

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2016
SessionJune
TopicFactor & Remainder Theorem
TypeSingle polynomial, two remainder/factor conditions
8 You are given that \(\mathrm { f } ( x ) = x ^ { 3 } + a x + c\) and that \(\mathrm { f } ( 2 ) = 11\). The remainder when \(\mathrm { f } ( x )\) is divided by \(( x + 1 )\) is 8 . Find the values of \(a\) and \(c\).
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