Factorisation Mastery

Factor out the greatest common factor of 12x^2 + 18x.

• 6x(2x + 3)

• 3x(4x + 6)

• 4x(3x + 4)

• 2x(6x + 9)

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

• (x + 2)(x + 3)

• (x + 1)(x + 6)

• (x + 3)(x + 3)

• (x + 2)(x + 2)

Use the distributive property to factor: 3(2x + 4).

• 5x + 12

• 6x + 10

• 3x + 8

• 6x + 12

Solve the quadratic equation by factoring: x^2 - 9 = 0.

• x = -4, 4

• x = -5, 5

• x = -2, 2

• x = -3, 3

Factor out the greatest common factor of 24a^2b + 36ab^2.

• 8ab(3a + 4b)

• 12ab(2a + 3b)

• 18ab(2a + 3b)

• 6ab(4a + 6b)

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

• (2x + 3)(x + 1)

• (2x + 1)(x + 3)

• (2x + 1)(x + 2)

• (2x + 2)(x + 1)

Use the distributive property to factor: 4(3x - 2).

• 4(3x - 2) = 12x - 8

• 4(3x - 2) = 12x + 2

• 4(3x + 2) = 12x + 8

• 4(3x - 2) = 12x - 2

Solve the quadratic equation by factoring: x^2 - 4x - 5 = 0.

• x = 0, x = 1

• x = 5, x = -1

• x = 6, x = -7

• x = 3, x = -2

Factor out the greatest common factor of 18x^2y - 27xy^2.

• 3xy(6x - 9y)

• 12xy(1.5x - 2y)

• 6xy(3x - 4y)

• 9xy(2x - 3y)

Factor the trinomial: 3x^2 - 8x - 3.

• (3x + 1)(x - 3)

• (3x + 1)(x + 3)

• (3x - 1)(x - 3)

• (3x - 1)(x + 3)