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Factorization
Class 9 · Mathematics · 10 questions
Name: ____________________ Date: ____________
Factorise x² - 9.
- A (x + 3)(x - 3)
- B (x + 9)(x - 1)
- C (x - 3)²
- D x(x - 9)
Factorise x² + 5x + 6.
- A (x - 2)(x - 3)
- B (x + 1)(x + 6)
- C (x + 5)(x + 1)
- D (x + 2)(x + 3)
Factorise 2x + 6.
- A 6(x + 2)
- B 2(x + 6)
- C 2(x + 3)
- D x(2 + 6)
Factorise x² - 5x + 6.
- A (x - 1)(x - 6)
- B (x - 2)(x - 3)
- C (x + 2)(x + 3)
- D (x - 5)(x - 1)
Which is a factor of x² + 7x + 12?
- A x + 6
- B x + 2
- C x - 3
- D x + 3
Factorise 4x² - 25.
- A (x + 5)(4x - 5)
- B (2x - 5)²
- C (4x + 5)(x - 5)
- D (2x + 5)(2x - 5)
Factorise x² - 16.
- A (x + 4)(x - 4)
- B (x - 4)²
- C x(x - 16)
- D (x + 8)(x - 2)
Factorise 3x² + 6x.
- A 3x(x + 2)
- B 3(x² + 2x)
- C x(3x + 6)
- D 6x(x + 1)
Factorise x² + 6x + 9.
- A (x - 3)²
- B (x + 9)(x + 1)
- C (x + 3)²
- D (x + 6)(x + 3)
Which is a factor of x² - x - 6?
- A x + 6
- B x + 3
- C x - 2
- D x - 3
Answer key
1. A, 2. D, 3. C, 4. B, 5. D, 6. D, 7. A, 8. A, 9. C, 10. D
x² - 9 = x² - 32 = (x + 3)(x - 3).
Two numbers with product 6 and sum 5 are 2 and 3.
Take out the common factor 2.
Two numbers with product 6 and sum -5 are -2 and -3.
x² + 7x + 12 = (x + 3)(x + 4).
4x² - 25 = (2x)² - 52 = (2x + 5)(2x - 5).
Difference of squares.
Take out the greatest common factor 3x.
It is a perfect square.
x² - x - 6 = (x - 3)(x + 2).