Skip to main content
O-LevelAdditional MathematicsFactors of polynomials4037/12 · Oct/Nov 2020 · Q25 Marks

[Figure 2.1] The diagram shows the graph of y = f(x), where f(x) is a cubic polynomial.

  1. (a)Find f(x).[3]
  2. (b)Write down the values of x such that f(x) < 0.[2]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.

  1. B1 for negative soi
  2. B1 for 1/2 soi
  3. B1 for (x+5)(x+1)(x-2) or x³ + 4x² -7x-10
  4. B1 for -5<x<-1
  5. B1 for x > 2

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Factors of polynomials, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2020 Paper 1 Variant 2, question 2.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Additional Mathematics questions

© 2026 Oracle Prep