Quelpr
3 marksAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 2007 · Paper 2 · Question 1(a)

A function g(x) is defined as g(x) = x^4 - 9, where x is a real number.

Find all the real factors of g(x).

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 1(a)(ii)Find all the real roots of g(x) = 0.[1 mark]
  2. 1(b)(i)Express u^2 in terms of x.[3 marks]
  3. 1(b)(ii)By writing f(x) = x^2 [x^2 - 9x + 28 - 36/x + 16/x^2] and using the result from (b)(i) above, show that if f(x) = 0, then u^2 - 9u + 20 = 0.[6 marks]
  4. 1(b)(iii)Hence, determine the values of x ∈ R for which f(x) = 0.[7 marks]

More practice: the rest of this paper · more Algebraic Operations questions · all CAPE Pure Mathematics Unit 1 past papers