OCR MEI C1 2012 June — Question 8

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2012
SessionJune
TopicFactor & Remainder Theorem
TypeSingle polynomial, two remainder/factor conditions
8 The function \(\mathrm { f } ( x ) = x ^ { 4 } + b x + c\) is such that \(\mathrm { f } ( 2 ) = 0\). Also, when \(\mathrm { f } ( x )\) is divided by \(x + 3\), the remainder is 85 . Find the values of \(b\) and \(c\).
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