BASIC OPERATION AND FACTORISATION (CDS)

Total Questions: 77

41. If the HCF of polynomials f(x) = (x - l)(x² + 3x + a) and g(x) = (x + 2)(x² + 2x + b) is (x² + x - 2) then what are the values of a and b respectively? [2017 (II) Evening Shift]

Correct Answer: (b) 2, -3
Solution:

42. Solve the following equation [2017 (I) Morning Shift ]

Correct Answer: (a) 0
Solution:


43. Solve the following equation [2017 (I) Morning Shift ]

Correct Answer: (c) 2
Solution:

44. If a³ = 335 + b³ and a = 5 + b, then what is the value of a + b (given that a > 0 and b > 0 ) ? [2017 (I) Morning Shift ]

Correct Answer: (b) 9
Solution:

45. If a + b = 5 and ab = 6 then what is the value of a³ + b³ ? [2017 (I) Morning Shift ]

Correct Answer: (a) 35
Solution:We know that,

46. (x + 4) is a factor of which one of the following expressions? [2017 (I) Morning Shift ]

Correct Answer: (c) x² - 7x - 44
Solution:We have, (x + 4) as a factor

47. Solve the following equation [2017 (I) Morning Shift ]

Correct Answer: (b) 2
Solution:We have,

48. Solve the following equation [2016 (II) Evening Shift]

Correct Answer: (b) 1
Solution:Given,


49. Solve the following equation [2016 (II) Evening Shift]

Correct Answer: (b)
Solution:

50. If 4x + 3a = 0, then what is the value of [2016 (II) Evening Shift]

Correct Answer: (c)
Solution: