OCR C1 2006 January — Question 2

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2006
SessionJanuary
TopicPolynomial Division & Manipulation

2
  1. Simplify \(( 3 x + 1 ) ^ { 2 } - 2 ( 2 x - 3 ) ^ { 2 }\).
  2. Find the coefficient of \(x ^ { 3 }\) in the expansion of $$\left( 2 x ^ { 3 } - 3 x ^ { 2 } + 4 x - 3 \right) \left( x ^ { 2 } - 2 x + 1 \right)$$