arrow_backBack to Study Resources

Quiz Chapter 2: Factorisation and Algebraic Fractions

10 questions · Form 2 Mathematics Bab 2: Factorisation and Algebraic Fractions

Question 1 of 10Score: 0

Factorise 2x² + 5x + 3.

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Factorise 2x² + 5x + 3.

  1. (2x + 1)(x + 3)
  2. (2x + 3)(x + 1)
  3. (2x - 3)(x - 1)
  4. (x + 2)(2x + 1)
Show answer

Answer: B

Using cross-multiplication: (2x + 3)(x + 1) = 2x² + 2x + 3x + 3 = 2x² + 5x + 3.

2. Expand (2x + 3)(x - 4).

  1. 2x² - 5x - 12
  2. 2x² + 5x - 12
  3. 2x² - 12
  4. 2x² - 11x - 12
Show answer

Answer: A

Using FOIL: (2x)(x) + (2x)(-4) + (3)(x) + (3)(-4) = 2x² - 8x + 3x - 12 = 2x² - 5x - 12.

3. Factorise completely: 3x² - 12.

  1. 3(x - 2)²
  2. 3(x + 2)(x - 2)
  3. (3x + 6)(x - 2)
  4. 3(x² - 4)
Show answer

Answer: B

First factor out 3: 3(x² - 4). Then apply difference of squares: 3(x + 2)(x - 2).

4. Express x² - 9x + 3 in its simplest form.

  1. x + 3
  2. x - 3
  3. x - 9
  4. 1x + 3
Show answer

Answer: B

Factorise the numerator: (x + 3)x - 3x + 3 = x - 3.

5. Factorise by grouping: ax + ay + bx + by.

  1. (a - b)(x + y)
  2. (a + b)(x - y)
  3. (a + b)(x + y)
  4. ab(x + y)
Show answer

Answer: C

Group in pairs: a(x + y) + b(x + y) = (a + b)(x + y).

6. Simplify: (4mn) ÷ (2m² / 3n).

  1. 6m
  2. 8m³ / 3n²
  3. 6mn
  4. 32m
Show answer

Answer: A

Change division to multiplication by reciprocal: (4mn) × (3n2m²) = 12mn2m²n = 6m.

7. Expand: 2(x - 3) - 3(2 - x).

  1. 5x - 12
  2. -x - 12
  3. 5x
  4. x - 12
Show answer

Answer: A

Expand each term: 2x - 6 - 6 + 3x = (2x + 3x) + (-6 - 6) = 5x - 12.

8. Factorise x² - 49.

  1. (x - 7)²
  2. (x + 7)(x - 7)
  3. (x + 49)(x - 1)
  4. (x - 7)(x - 7)
Show answer

Answer: B

Using difference of two squares a² - b² = (a + b)(a - b): x² - 7² = (x + 7)(x - 7).

9. Simplify the expression: (2x3) + (x4).

  1. 3x7
  2. 11x12
  3. 3x12
  4. 8x12
Show answer

Answer: B

Find the LCM of 3 and 4, which is 12: (2x × 412) + (x × 312) = 8x12 + 3x12 = 11x12.

10. Simplify: 1 - x - 23.

  1. 5 - x3
  2. 1 - x3
  3. x + 13
  4. 5 + x3
Show answer

Answer: A

Combine under common denominator 3: 3 - (x - 2)3 = 3 - x + 23 = 5 - x3.

Sponsored