Quelpr
2 marksRemainder Theorem

CSEC Additional Mathematics · May/June 2007 · Paper 2 · Question 12(OR)(a)(i)

The expression f(x) = x³ + ax² + bx + c leaves the same remainder, R, when it is divided by x + 2 and when it is divided by x - 2. f(x) also leaves the same remainder, R, when divided by x - 1.

Evaluate b.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 12(EITHER)(i)Find the coordinates of B.[5 marks]
  2. 12(EITHER)(ii)Find the coordinates of C.[3 marks]
  3. 12(EITHER)(iii)Find the coordinates of D.[2 marks]
  4. 12(OR)(a)(ii)Evaluate a.[2 marks]
  5. 12(OR)(a)(iii)Evaluate c.[1 mark]
  6. 12(OR)(b)Solve the equation x³ + 3x² = 2, giving your answers to 2 decimal places where necessary.[5 marks]

More practice: the rest of this paper · more Remainder Theorem questions · all CSEC Additional Mathematics past papers