Factorisation
43. The representation of an expression as the product of its factors is called
- (A) Commutativity
- (B) Distributivity
- (C) Factorisation
- (D) Expansion
42. The irreducible factorisation of 3a3 + 6a is
- (A) 3a(a2 + 2)
- (B) 3(a3 + 2)
- (C) a(3a2 + 6)
- (D) 3 × a × a × a + 2 × 3 × a
41. Common factor of x2y and –xy2 is xy.
- (A) xy
- (B) x only
- (C) y only
- (D) None of these
40. Common factor of ax2 + bx is
- (A) ax2
- (B) x2
- (C) x
- (D) bx
39. What is the value of (3x + 3x2) ÷ 3x?
- (A) 3x
- (B) 3x2
- (C) 3
- (D) 3x3
38. Which of the following is the correct value of 6x3 ÷ 3x2?
- (A) 2x2
- (B) 2x
- (C) 3x
- (D) 2x5
37. The common factor of 3ab and 2cd is
- (A) 1
- (B) – 1
- (C) a
- (D) c
36. An irreducible factor of 24x2y2 is
- (A) x2
- (B) y2
- (C) x
- (D) 24x
35. Number of factors of (a + b)2 is
- (A) 4
- (B) 3
- (C) 2
- (D) 1
34. The factorised form of 3x – 24 is
- (A) 3x × 24
- (B) 3(x – 8)
- (C) 24(x – 3)
- (D) 3(x – 12)
33. The factorisation of 2x + 4y is
- (A) 2(x + y)
- (B) 2(x + 2y)
- (C) x(2 + y)
- (D) x(x + 2y)
32. Common factor of 17abc, 34ab2, 51a2b is
- (A) 17abc
- (B) 17ab
- (C) 17ac
- (D) 17a2b2c
31. Factorised form of r2 – 10r + 21 is
- (A) (r – 1) (r – 4)
- (B) (r – 7) (r – 3)
- (C) (r – 7) (r + 3)
- (D) (r + 7) (r + 3)
30. Factorised form of p2 – 17p – 38 is
- (A) (p – 19) (p + 2)
- (B) (p – 19) (p – 2)
- (C) (p + 19) (p + 2)
- (D) (p + 19) (p – 2)
29. On dividing 57p2qr by 114pq, we get
- (A) ¼pr
- (B) ¾pr
- (C) ½pr
- (D) 2pr
28. The factors of x2 – 4 are
- (A) (x – 2), (x – 2)
- (B) (x + 2), (x – 2)
- (C) (x + 2), (x + 2)
- (D) (x – 4), (x – 4)
27. Which of the following is not the correct value of –20x4 ÷ 10x2?
- (A) –x2 – x2
- (B) –2x2
- (C) –2x × x
- (D) –2x
26. Which of the following is the correct value of (2x)2?
- (A) 2x2
- (B) 4x2
- (C) 4x
- (D) x2
25. Factorisation of 5z2 – 80 is
- (A) 5(z2 – 16)
- (B) 5(z – 16)
- (C) 5(z – 4)(z + 4)
- (D) (z – 4)(z + 4)
24. The value of (–27x2y) ÷ (–9xy) is
- (A) 3xy
- (B) –3xy
- (C) –3x
- (D) 3x
23. The value of (2x2 + 4) ÷ 2 is
- (A) 2x2 + 2
- (B) x2 + 2
- (C) x2 + 4
- (D) 2x2 + 4
22. Which of the following is the correct value of 3(x – 4)?
- (A) 3x – 4
- (B) 3x – 12
- (C) x – 4
- (D) x – 12
21. Which of the following is the correct value of (x + 8)2?
- (A) x2 + 64
- (B) x2 + x + 64
- (C) x2 + 16x
- (D) x2 + 16x + 64
20. Which of the following is the correct value of (x – 5)2?
- (A) x2 – 25
- (B) x2 – x + 25
- (C) x2 – 10x + 25
- (D) x2 – 10x + 5
19. Which of the following is the correct value of 2x + 3y?
- (A) 6xy
- (B) 5x + y
- (C) 2x + 3y
- (D) 5xy
18. Factorised form of 18mn + 10mnp is
- (A) 18m(n + np)
- (B) 2mn(9 + 5p)
- (C) 2mn(9 + 10p)
- (D) 10mn(1 + p)
17. Factorised form of 4y2 – 12y + 9 is
- (A) (2y – 3)(2y + 3)
- (B) (2y – 3)(2y – 3)
- (C) (y – 3)(2y – 3)
- (D) (y – 3)(y – 3)
16. 38x3y2z ÷ 19xy2 is equal to
- (A) 2x2z
- (B) 2xyz
- (C) 2x2y
- (D) 2xy
15. Simplified value of (9x – 81) ÷ 9 is
- (A) x – 9
- (B) x – 81
- (C) x + 81
- (D) x + 9
14. Factorisation of –3a2 + 3ab + 3ac is
- (A) 3a (–a – b – c)
- (B) 3a (–a + b – c)
- (C) 3a (–a – b + c)
- (D) 3a (–a + b + c)
13. Irreducible factor form of the expression 10x(x + 2) (y + 3) is
- (A) 10x(x + 2) × (y + 3)
- (B) 2 × 5 × (x2 + 2x) × (y + 3)
- (C) 10 × x × (x + 2) × (y + 3)
- (D) 2 × 5 × (x + 2) × (xy + 3x)
12. On dividing p(4p2 – 16) by 4p(p – 2), we get
- (A) 2p + 4
- (B) 2p – 4
- (C) p + 2
- (D) p – 2
11. The value of (a + 1) (a – 1) (a2 + 1) is
- (A) a3 – 1
- (B) a4 – 1
- (C) a4 + 1
- (D) a3 + 1
10. Factorised form of 23xy – 46x + 54y – 108 is
- (A) (23x + 54) (y – 2)
- (B) (23x + 54y) (y – 2)
- (C) (23xy + 54y) (–46x – 108)
- (D) (23x + 54) (y + 2)
9. Factorisation of 12a2b + 15ab2 is
- (A) ab (4a + 5b)
- (B) 3ab (4a + 5b)
- (C) 3ab (4a + b)
- (D) ab (4a + 5b)
8. In the factorisation of m4 – 256, how many factors will be there?
- (A) 1
- (B) 2
- (C) 3
- (D) 4
7. Which of the following is the correct value of (5x2 + 20x) ÷ (x + 4)?
- (A) 5
- (B) 5x
- (C) 4x
- (D) 4x(x + 4)
6. The value of (3x3 +9x2 + 27x) ÷ 3x is
- (A) x2 + 9 + 27x
- (B) 3x3 + 3x2 + 27x
- (C) 3x3 + 9x2 + 9
- (D) x2 + 3x + 9
5. Simplified value of (x3 + 2x2 + 3x) ÷ 2x is
- (A) x2 + x2 + 3
- (B) (x2 + 2x + 3)/2
- (C) (x3 + 2x2 + 3)/2
- (D) (x3 + 2 + 3x)/2
4. Simplified value of (3y8 – 4y6 + 5y4) ÷ y4 is
- (A) 3y4 – 4y2 + 5
- (B) 3y8 – 4y6 + 5
- (C) 3y8 – 4y2 + 5y4
- (D) 3y8 – 4y6 + 4y4
3. Simplified value of (p3q6 – p6q3) ÷ p3q3 is
- (A) p3q3
- (B) q6 – p3
- (C) q3 – p3
- (D) q3 – p6q3
2. Substituting x = – 3 in x2 + 5x + 4 gives
- (A) (–3)2 + 5(–3) + 4 = 9 + 2 + 4 = 15
- (B) (–3)2 + 5(–3) + 4 = –6 + 2 + 4 = 0
- (C) (–3)2 + 5(–3) + 4 = 9 – 15 + 4 = –2
- (D) (–3)2 + 5(–3) + 4 = –6 – 15 + 4 = –17
1. Substituting x = – 3 in x2 – 5x + 4 gives
- (A) (–3)2 – 5(–3) + 4 = 9 – 8 + 4 = 5
- (B) (–3)2 – 5(–3) + 4 = –6 – 8 + 4 = 10
- (C) (–3)2 – 5(–3) + 4 = 9 + 15 + 4 = 28
- (D) (–3)2 – 5(–3) + 4 = –6 + 15 + 4 = 13