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Factorization
10 Class 9 Mathematics questions with answers and explanations.
Printable worksheet with answer key
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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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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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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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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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Factorise x² - 16.
- 1 (x + 4)(x - 4)
- 2 (x - 4)²
- 3 x(x - 16)
- 4 (x + 8)(x - 2)
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Factorise 3x² + 6x.
- 1 3x(x + 2)
- 2 3(x² + 2x)
- 3 x(3x + 6)
- 4 6x(x + 1)
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Factorise x² + 6x + 9.
- 1 (x - 3)²
- 2 (x + 9)(x + 1)
- 3 (x + 3)²
- 4 (x + 6)(x + 3)
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Which is a factor of x² - x - 6?
- 1 x + 6
- 2 x + 3
- 3 x - 2
- 4 x - 3