Grade 8 - Factorisation Worksheet 3

Factorise the following Polynomials

1. The factor of p² + 2pq + q² are (p − q) and (p − q). Mark True / False.

a) True b) False

2. L is a factor of 2P(L + R). Mark True/ False.

a) True b) False

3. ^m⁄₂ and (m + 1) are factor of ^m²⁄₂ + ^m⁄₂. Mark True / False.

a) True b) False

4. Common factors of 12pq², 144p²q³, 1, 728p²q is 12p²q. Mark True / False.

a) True b) False

5. Factorisation of −4p² + 4pq + 4pr is 4p (−p − q − r). Mark True / False.

a) True b) False

6. The factorisation of (3x + 9y) is 3(x + 3y). Mark True / False.

a) True b) False

7. The common factor method of factorisation for a polynomial is based on distributive property. Mark True / False.

a) True b) False

8. The common factor of (pr² + qr) is 1. Mark True / False.

a) True b) False

9. Factorised form of 15mn + 9mnp is 3mn (5 +3p). Mark True / False.

a) True b) False

10. Factorised form of 25y² − 20y + 16 is (5y − 4)(5y + 4). Mark True / False.

a) True b) False

11. The possible factor of 7yz is 1, y, z, 7. Mark True / False.

a) True b) False

12. The greatest common factor of 25 a²b⁵ and 35ab³ is 5ab. Mark True / False.

a) True b) False

13. The greatest common factor of 7p⁴ + 21p² + 49p³ is 7p². Mark True / False.

a) True b) False

14. px − pz + qx − qz = (p − q)(x − z). Mark True / False.

a) True b) False

15. m − 8 + 8nm − nmp = (p − 8)(1 − nm). Mark True / False.

a) True b) False

16. Factorise (m − n)a +(n − m)b ,we get (m − n)(b − a). Mark True / False.

a) True b) False

17. Factorise 18p − 3p² and get 3p(6 − p). Mark True / False.

a) True b) False

18. Product of 6y(1 − 2y) is −6y + 12y². Mark True / False.

a) True b) False

19. HCF of 3x² and 5y² is '0'. Mark True / False.

a) True b) False

20. Common factor of 7m, 25n², 32p² and 31q is '1'. Mark True / False.

a) True b) False

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Factorisation Worksheet-3Download the pdf

Class-8 Factorisation Worksheet

Factorisation-AnswerDownload the pdf