Quelpr
9 marksAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 2024 · Paper 2 · Question 2(b)

The polynomial function f(x) = 2x^3 - px^2 + qx - 5 is divisible by 2x - 1 and has a remainder of 7 when divided by x - 1.

Calculate the values of p and q.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 2(a)Determine the cubic equation with roots (alpha - 1), (beta - 1) and (gamma - 1), given that (alpha - 1)(beta - 1) + (alpha - 1)(gamma - 1) + (beta - 1)(gamma -…[8 marks]
  2. 2(c)Provide a proof by contradiction for this proposition, by assuming n is odd and showing the assumption is incorrect.[8 marks]

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