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CBSE Class 9 Algebra: factorisation — practice questions

Explore 4 free Algebra: factorisation questions in CBSE Class 9 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra: factorisation questions and exercises with answers

Showing questions 1–4 of 4.

Match each sum or difference of cubes with its factored binomial-trinomial form:Read the answer and worked solution →Match each polynomial with its complete factorisation:Read the answer and worked solution →Match each quadratic trinomial with its factored binomials:Read the answer and worked solution →Match each algebraic theorem with its mathematical statement:Read the answer and worked solution →

Worked practice questions

Match each sum or difference of cubes with its factored binomial-trinomial form:

  1. 1-A, 2-B, 3-C
  2. 1-B, 2-A, 3-C
  3. 1-C, 2-B, 3-A
  4. 1-A, 2-C, 3-B
Show answer and solution

Correct answer: A. 1-A, 2-B, 3-C

a³+b³ = (a+b)(a²-ab+b²). a³-b³ = (a-b)(a²+ab+b²). x³-8 = (x-2)(x²+2x+4).

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Match each polynomial with its complete factorisation:

  1. 1-A, 2-B, 3-C
  2. 1-B, 2-A, 3-C
  3. 1-C, 2-B, 3-A
  4. 1-A, 2-C, 3-B
Show answer and solution

Correct answer: A. 1-A, 2-B, 3-C

x⁴-16 = (x²+4)(x+2)(x-2). (a-b)²-c² = (a-b+c)(a-b-c). x³+27 = (x+3)(x²-3x+9).

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Match each quadratic trinomial with its factored binomials:

  1. 1-A, 2-B, 3-C
  2. 1-B, 2-A, 3-C
  3. 1-C, 2-B, 3-A
  4. 1-A, 2-C, 3-B
Show answer and solution

Correct answer: A. 1-A, 2-B, 3-C

2x²+7x+3 = (2x+1)(x+3). 3x²-10x+8 = (3x-4)(x-2). 6x²+5x-6 = (2x+3)(3x-2).

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More Mathematics topics

Number SystemsAlgebraic IdentitiesProbabilityMensurationCoordinate GeometrySequencesPerimeter and AreaLinear Polynomials