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Factorization

6 Class 9 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. Factorise x2 - 9.

    • 1 (x + 3)(x - 3)
    • 2 (x + 9)(x - 1)
    • 3 (x - 3)2
    • 4 x(x - 9)
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    Correct answer: (x + 3)(x - 3)

    x2 - 9 = x2 - 32 = (x + 3)(x - 3).

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  2. Factorise x2 + 5x + 6.

    • 1 (x - 2)(x - 3)
    • 2 (x + 1)(x + 6)
    • 3 (x + 5)(x + 1)
    • 4 (x + 2)(x + 3)
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    Correct answer: (x + 2)(x + 3)

    Two numbers with product 6 and sum 5 are 2 and 3.

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  3. Factorise 2x + 6.

    • 1 6(x + 2)
    • 2 2(x + 6)
    • 3 2(x + 3)
    • 4 x(2 + 6)
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    Correct answer: 2(x + 3)

    Take out the common factor 2.

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  4. Factorise x2 - 5x + 6.

    • 1 (x - 1)(x - 6)
    • 2 (x - 2)(x - 3)
    • 3 (x + 2)(x + 3)
    • 4 (x - 5)(x - 1)
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    Correct answer: (x - 2)(x - 3)

    Two numbers with product 6 and sum -5 are -2 and -3.

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  5. Which is a factor of x2 + 7x + 12?

    • 1 x + 6
    • 2 x + 2
    • 3 x - 3
    • 4 x + 3
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    Correct answer: x + 3

    x2 + 7x + 12 = (x + 3)(x + 4).

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  6. Factorise 4x2 - 25.

    • 1 (x + 5)(4x - 5)
    • 2 (2x - 5)2
    • 3 (4x + 5)(x - 5)
    • 4 (2x + 5)(2x - 5)
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    Correct answer: (2x + 5)(2x - 5)

    4x2 - 25 = (2x)2 - 52 = (2x + 5)(2x - 5).

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