OCR MEI C1 2013 June — Question 5

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2013
SessionJune
TopicFactor & Remainder Theorem
TypeRemainder condition

5 You are given that \(\mathrm { f } ( x ) = x ^ { 5 } + k x - 20\). When \(\mathrm { f } ( x )\) is divided by \(( x - 2 )\), the remainder is 18 . Find the value of \(k\).