Learn › Class 8 CBSE · Mathematics › Factorisation
Factorisation — Class 8 CBSE Mathematics MCQs with Solutions
Free Class 8 CBSE Mathematics Factorisation MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
▶ Practise Factorisation online (free)
Sample questions with solutions
Q1 — easy
The HCF of 12x and 18x² is:
A. 2x
B. 6x ✓ Correct
C. 6x²
D. 12x
Solution: HCF of 12 and 18 is 6; common power of x is x.
Q2 — easy
Factorise: 5a − 15
A. 5(a − 3) ✓ Correct
B. 5(a − 15)
C. 3(a − 5)
D. 15(a − 1)
Solution: Take 5 common.
Q3 — easy
Factorise: 4y² + 8y
A. 4y(y + 2) ✓ Correct
B. 4(y² + 8y)
C. 2y(2y + 8)
D. 4y(y + 8)
Solution: Common factor 4y.
Q4 — hard
Factorise: 4x² + 12x + 9
A. (2x+3)² ✓ Correct
B. (2x−3)²
C. (4x+3)(x+3)
D. (2x+9)(2x+1)
Solution: It is (2x)² + 2(2x)(3) + 3².
Q5 — hard
Factorise completely: 2x² − 18
A. 2(x²−9)
B. 2(x+3)(x−3) ✓ Correct
C. (2x+3)(x−6)
D. (x+3)(2x−6)
Solution: Take 2 common, then use the difference of squares.
Q6 — hard
Divide: (x² − 5x + 6) ÷ (x − 2)
A. x − 3 ✓ Correct
B. x + 3
C. x − 2
D. x + 2
Solution: x² − 5x + 6 = (x−2)(x−3).
Q7 — medium
Factorise: x² − 9x + 20
A. (x−4)(x−5) ✓ Correct
B. (x+4)(x+5)
C. (x−2)(x−10)
D. (x−1)(x−20)
Solution: −4 and −5 add to −9 and multiply to 20.
Q8 — medium
Factorise: ab + ac + b + c
A. (a+1)(b+c) ✓ Correct
B. (a+b)(a+c)
C. (ab+c)(a+1)
D. (a+c)(b+1)
Solution: Group: a(b+c) + 1(b+c).
Q9 — medium
Factorise: 9x² − 16
A. (3x−4)(3x−4)
B. (3x+4)(3x−4) ✓ Correct
C. (9x+16)(x−1)
D. (3x+8)(3x−2)
Solution: Difference of squares with 3x and 4.