Factorisation Skills

Identify the common factor in the expression: 3x + 6

• 5

• 4

• 3

• 2

Factor out the greatest common factor in the expression: 12a + 18b

• 6(2a + 3b)

• 3(4a + 6b)

• 9(4a + 6b)

• 6(3a + 9b)

Factor the trinomial: x^2 + 5x + 6

• (x + 4)(x + 2)

• (x + 5)(x + 1)

• (x + 2)(x + 3)

• (x + 1)(x + 6)

Factor the difference of squares: 16x^2 - 25

• (4x + 5)(4x - 5)

• (8x + 5)(2x - 5)

• (2x + 5)(2x - 5)

• (4x + 5)(4x + 5)

Factor by grouping: 2x^2 + 3x - 2x - 3

• (2x - 1)(x + 3)

• (2x - 1)(x - 2)

• (2x + 1)(x - 3)

• (2x - 1)(x - 3)

Identify the common factor in the expression: 4y^2 - 12y

• 3y

• 6y

• 4y

• 8y

Factor out the greatest common factor in the expression: 15m^2 + 30mn

• 3m(5m + 10n)

• 10m(1.5m + 3n)

• 15m(m + 2n)

• 5m(3m + 6n)

Factor the trinomial: 2x^2 + 7x + 3

• (2x + 3)(x + 1)

• (2x + 4)(x + 2)

• (2x + 2)(x + 1)

• (2x + 1)(x + 3)

Factor the difference of squares: 9a^2 - 4

• (3a + 2)(3a - 2)

• (3a + 4)(3a - 2)

• (3a + 2)(3a + 2)

• (3a - 4)(3a + 2)

Factor by grouping: 3x^2 + 2xy - 3x - 2y

• (3x + 2y)(x + 1)

• (x - 1)(3x + 2y)

• (3x - 2y)(x - 1)

• (x - 1)(3x - 2y)