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Factorization
6 Class 9 Mathematics questions with answers and explanations.
Printable worksheet with answer key
All questions with answers
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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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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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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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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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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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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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