Factorisation

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) x + 1
• (D) x² + 1

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