OCR MEI C1 2011 June — Question 10

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2011
SessionJune
TopicPolynomial Division & Manipulation

10 Factorise \(n ^ { 3 } + 3 n ^ { 2 } + 2 n\). Hence prove that, when \(n\) is a positive integer, \(n ^ { 3 } + 3 n ^ { 2 } + 2 n\) is always divisible by 6 .