OCR MEI C1 2007 June — Question 4

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2007
SessionJune
TopicFactor & Remainder Theorem
TypeTwo factors given

4 You are given that \(\mathrm { f } ( x ) = x ^ { 3 } + k x + c\). The value of \(\mathrm { f } ( 0 )\) is 6, and \(x - 2\) is a factor of \(\mathrm { f } ( x )\).
Find the values of \(k\) and \(c\).