Class 8 Maths – Chapter 14: Factorisation

Step 5: MCQs + Practice Worksheet

🔹 Multiple Choice Questions (MCQs)

1. The factorisation of x² − 9 is:

a) (x − 3)(x − 3)
b) (x + 3)(x + 3)
c) (x − 3)(x + 3)
d) x(x − 9)

Answer: c) (x − 3)(x + 3)

2. Which is a factor of 6x² + 9x?

a) 3x
b) 2x
c) x²
d) 9

Answer: a) 3x

3. The factorisation of x² + 5x is:

a) x(x + 5)
b) x(x − 5)
c) (x + 5)²
d) x² + 5

Answer: a) x(x + 5)

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📝 Practice Worksheet

1. Factorise: 8x + 12

2. Factorise: x² − 16

3. Factorise: 3x² + 6x

4. Factorise: x² + 7x + 10

5. Find the factors of: 5y² − 20y

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✅ Worksheet Answers (Brief)

1. 8x + 12 = 4(2x + 3)

2. x² − 16 = (x − 4)(x + 4)

3. 3x² + 6x = 3x(x + 2)

4. x² + 7x + 10 = (x + 5)(x + 2)

5. 5y² − 20y = 5y(y − 4)

📌 Tip: Always take common factors first and then apply suitable identities.