Algebra: Expansion and Factorisation

Factor:  x² + 13x + 30

• (x + 3)(x + 10)
• (x + 5)(x + 6)
• (x + 2)(x + 15)
• (x + 1)(x + 30)

Factor:  x² - 16x + 24

• (x + 2)(x - 14)
• (x - 2)(x - 14)
• (x + 14)(x - 2)
• (x - 4)(x - 6)

x² - 16

• (x + 4) (x - 4)

• (x + 8) (x - 2)

• (x + 4)²

• x + 4(x - 4)

64x² - 81y²

• (8x + 7y) (8x - 7y)

• (8x + 9y) (8x - 9y)

• (6x + 7y) (6x - 7y)

• (6x + 9y) (6x - 9y)

Expand and simplify the following quadratic expression...

(x - 6)(x - 4)

• x² - 10x + 24

• x² - 10x - 24

• x² + 10x - 24

• x² + 10x + 24

Expand and simplify the following quadratic expression...

(x + 3)(x + 2)

• x² + 5x + 6

• x² + 5x + 5

• x² + 6x + 6

• x² + 6x + 5

(x+9)(x-9)

• x²-18x-81
• x²-81
• x²+81
• x²+18x-81

Solve the equation: 2x² + x - 3 = 0

• x = 1 & -1.5
• x = -1 & 1.5
• x = (-2 ±√92)/8
• x = (-2 ± √100)/8

Solve the equation:  x² - 7x + 12 = 0

• x = 3,  -4
• x = -3,  4
• x = 3,  4
• x = -3,  -4

Factorise the following:   3x²- 6x - 24

• (3x - 8)(x + 3)
• (3x + 4)(x - 6)
• 3(x - 2)(x + 4)
• 3(x + 2)(x - 4)