Algebra - Factorising

Factorise the expression 18x^2 - 50x.

• 2x(9x - 25)
• 2x(9x^2 - 25)
• 2(9x^2 - 25x)
• 2(9x - 25)

What is the common factor in the expression 15x^2 - 30x?

• 5x
• 10x
• 15x
• 30x

Factorise the expression 6x^2 + 9x.

• 3x(2x^2 + 3)
• 3(2x^2 + 3x)
• 3(2x + 3)
• 3x(2x + 3)

Which method of factorising is used for expressions of the form a^2 - b^2?

• Trinomial Method
• Common Factor Method
• Difference of Squares Method
• Quadratic Formula Method

What are the two numbers that multiply to 15 and add up to 8 in the expression 3x^2 + 8x + 5?

• 4 and 4
• 5 and 3
• 5 and 2
• 3 and 5

Factorise the expression 25x^2 - 36.

• (5x + 6)(5x - 6)
• (5x - 6)(5x + 6)
• (5x + 6)(5x + 6)
• (5x - 6)(5x - 6)

What is the goal of factorising in algebra?

• To increase complexity
• To complicate expressions
• To simplify expressions
• To confuse students

Factorise the expression 4x^2 - 12x.

• 4(x^2 - 3x)
• 4(x - 3)
• 4x(x - 3)
• 4x(x^2 - 3)

What is the greatest common factor in the expression 4x^2 + 8x?

• 2
• 4
• 8
• x

Factorise the expression 16x^2 - 25.

• (4x + 5)(4x - 5)
• (4x + 5)(4x + 5)
• (4x - 5)(4x - 5)
• (4x - 5)(4x + 5)