4 marksAlgebraic Operations
CAPE Pure Mathematics Unit 1 · May/June 2013 · Paper 2 · Question 1(d)(ii)
Factorise f(x) completely.
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Practise this questionOther parts of this question
- 1(a)Construct a truth table for the statements[1 mark]
- 1(a)(i)p → q[1 mark]
- 1(a)(ii)~(p ∧ q).[2 marks]
- 1(b)Solve the equation 2 ⊕ x = 0.[5 marks]
- 1(c)Use mathematical induction to prove that 5ⁿ + 3 is divisible by 2 for all values of n ∈ N.[8 marks]
- 1(d)(i)Given that (x + 1) is a factor of f(x), show that p = 6.[2 marks]
- 1(d)(iii)Hence, or otherwise, solve f(x) = 0.[3 marks]
More practice: the rest of this paper · more Algebraic Operations questions · all CAPE Pure Mathematics Unit 1 past papers