Online Test — Factorisation
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
Factorise: 6x + 9
3(2x+3)
2(3x+4.5)
3(2x+9)
6(x+1.5)
Explanation: GCF is 3 → 3(2x+3)
Question 2 of 10
medium
Factorise: x² + 8x + 15
(x+3)(x+5)
(x-3)(x-5)
(x+1)(x+15)
(x+3)(x-5)
Explanation: Product 15, sum 8 → 3 and 5
Question 3 of 10
medium
Factorise: x² - 49
(x-7)(x+7)
(x-7)²
(x+7)²
(x-49)(x+1)
Explanation: Difference of squares: a²-b²=(a-b)(a+b)
Question 4 of 10
medium
Factorise: 8x³ + 27
(2x+3)(4x²-6x+9)
(2x-3)(4x²+6x+9)
(2x+3)(4x²+6x+9)
(2x-3)(4x²-6x+9)
Explanation: Sum of cubes with a=2x, b=3
Question 5 of 10
medium
Factorise by grouping: xy + x + y + 1
(x+1)(y+1)
(x-1)(y-1)
(x+1)(y-1)
(x-1)(y+1)
Explanation: (xy+x)+(y+1)=x(y+1)+1(y+1)=(y+1)(x+1)
Question 6 of 10
medium
Factorise: 2x² + 7x + 3
(2x+1)(x+3)
(2x+3)(x+1)
(x+1)(2x+3)
(x+3)(2x+1)
Explanation: ac=6, numbers 6 and 1 → 2x²+6x+x+3=2x(x+3)+1(x+3)=(x+3)(2x+1)
Question 7 of 10
medium
Factorise: 27x³ - 8
(3x-2)(9x²+6x+4)
(3x+2)(9x²-6x+4)
(3x-2)(9x²-6x+4)
(3x+2)(9x²+6x+4)
Explanation: Difference of cubes: a=3x, b=2
Question 8 of 10
medium
Factorise: 4x² - 25y²
(2x-5y)(2x+5y)
(2x-5y)²
(2x+5y)²
(4x-25y)(4x+25y)
Explanation: Difference of squares
Question 9 of 10
medium
The GCF of 12x³y² and 18x²y³ is:
6x²y²
6x³y³
36x²y²
6xy
Explanation: GCF of 12,18=6; x², y²
Question 10 of 10
medium
Factorise: x³ - x² + x - 1
(x-1)(x²+1)
(x+1)(x²-1)
(x-1)(x²-1)
(x+1)(x²+1)
Explanation: Group: x²(x-1)+1(x-1)=(x-1)(x²+1)