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Algebra: Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials)
Practice Questions

23 CXC CSEC Mathematics questions on Algebra: Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials), each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Algebra: Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials)

Question 1 · 1 mark · Difficulty 1/3

Factorise completely: 6x² + 9x

  1. 3(2x² + 3x)
  2. 3x(2x + 3)
  3. x(6x + 9)
  4. 6x(x + 3)
Show answer & explanation
✓ Answer: B — 3x(2x + 3)
Award 1 mark for identifying the highest common factor (HCF) as 3x and factorising correctly. A is incorrect — only 3 is taken out, not the full HCF including x. C is incorrect — only x is taken out, leaving coefficients that share a common factor of 3. D is incorrect — 6x is not a factor of 9x.
Question 2 · 1 mark · Difficulty 1/3

A farmer in Jamaica is calculating the area of a rectangular plot. The area is given by the expression x² − 49 square metres. Which of the following represents the factorised form of this expression?

  1. (x − 7)²
  2. (x + 7)²
  3. (x − 7)(x + 7)
  4. (x − 49)(x + 1)
Show answer & explanation
✓ Answer: C — (x − 7)(x + 7)
Award 1 mark for recognising the difference of two squares pattern a² − b² = (a − b)(a + b) where a = x and b = 7. A is incorrect — this expands to x² − 14x + 49. B is incorrect — this expands to x² + 14x + 49. D is incorrect — this does not give the original expression when expanded.
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CXC CSEC Mathematics: Algebra: Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials) FAQ

How many CXC CSEC Mathematics questions on Algebra: Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials) are there on Kramizo?
Kramizo currently has 23 exam-board-aligned practice questions on Algebra: Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials) for CXC CSEC Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CXC paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CXC CSEC students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Algebra: Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials) practice with other Mathematics topics or even switch to a totally different CXC subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Algebra: Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials) questions aligned to the official CXC CSEC Mathematics syllabus?
Every question is written against the published CXC CSEC Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CXC paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CXC.
How is Algebra: Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials) typically tested on CXC CSEC Mathematics papers?
Algebra: Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials) appears across multiple question types on real CXC CSEC Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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