Factorization, MC Question - WordPress.com
Transcript of Factorization, MC Question - WordPress.com
![Page 1: Factorization, MC Question - WordPress.com](https://reader031.fdocuments.in/reader031/viewer/2022013012/61cf59869c84d62fce3b1439/html5/thumbnails/1.jpg)
Cover
A. B. C. D. E.
Q1. Q2. Q3. Q4. Q5. Q6. Q7. Q8. Q9. Q10. Q11. Q12. Q13. Q14. Q15. Q16. Q17. Q18. Q19. Q20. Q21. Q22. Q23. Q24. Q25. Q26. Q27. Q28. Q29. Q30. Q31. Q32. Q33. Q34. Q35.
Q36. Q37. Q38. Q39. Q40. Q41. Q42. Q43. Q44. Q45. Q46. Q47. Q48. Q49. Q50. Q51. Q52. Q53. Q54. Q55. Q56. Q57. Q58. Q59. Q60. Q61. Q62. Q63. Q64. Q65. Q66. Q67. Q68. Q69. Q70. Q81. Q82. Q83. Q84. Q85. Q86. Q87. Q88. Q89. Q90.
![Page 2: Factorization, MC Question - WordPress.com](https://reader031.fdocuments.in/reader031/viewer/2022013012/61cf59869c84d62fce3b1439/html5/thumbnails/2.jpg)
Factorization, MC Question HKCEE MATH Past Paper 1980-2011
Q1. 1980/1
!
A. !
B. !
C. !
D. !
E. !
Q2. 1986/2
!
A. !
B. !
C. !
D. !
E. !
Q3. 1988/3
!
A. !
B. !
C. !
D. !
E. !
Q4. 1988/33
Which of the following expressions CANNOT be factorized?
A. ! B. !
C. ! D. !
E. !
Q5. 1989/2
!
A. !
B. ! C. ! D. ! E. !
2ab − a2 − b2 =
(a − b)2
(−a − b)2
(−a + b)2
−(a + b)2
−(a − b)2
x2
3− 3y2
32(x − 3y)
=
12(x − 3y)
29(x − 3y)
2(x + 3y)
12(x + 3y)
29(x + 3y)
x2 − 2xx3 − 25x
× x2 − 2x −15x2 + x − 6
=
1x − 5
x − 2(x + 2)(x − 5)
1x + 5
1x
x − 3(x + 3)(x − 5)
x3 −1254x2 − 9y2
x3 +1254x2 + 9y2
3x2 + 6xy + 3y2
27x3 − 83x − 2
=
(3x − 2)2
9x2 − 49x2 + 49x2 − 6x + 49x2 + 6x + 4
Page of 2 4
![Page 3: Factorization, MC Question - WordPress.com](https://reader031.fdocuments.in/reader031/viewer/2022013012/61cf59869c84d62fce3b1439/html5/thumbnails/3.jpg)
Factorization, MC Question HKCEE MATH Past Paper 1980-2011
Q6. 1990/7
!
A. !
B. !
C. !
D. !
E. !
Q7. 1994/35
Factorize ! .
A. !
B. !
C. !
D. !
E. !
Q8. 1995/36
Factorize ! .
A. !
B. !
C. !
D. !
E. !
Q9. 1997/4
!
A. !
B. !
C. !
D. !
E. !
Q10. 1998/8
Factorize ! .
A. !
B. !
C. !
D. !
E. !
Q11. 1999/2
!
A. !
B. !
C. !
D. !
E. !
a3 + 8a−3 =
a − 2a
⎛⎝⎜
⎞⎠⎟ a2 + 2 + 4
a2⎛⎝⎜
⎞⎠⎟
a − 12a
⎛⎝⎜
⎞⎠⎟ a2 +1+ 1
4a2⎛⎝⎜
⎞⎠⎟
a + 12a
⎛⎝⎜
⎞⎠⎟ a2 − 1
2+ 14a2
⎛⎝⎜
⎞⎠⎟
a + 2a
⎛⎝⎜
⎞⎠⎟ a2 − 4 + 4
a2⎛⎝⎜
⎞⎠⎟
a + 2a
⎛⎝⎜
⎞⎠⎟ a2 − 2 + 4
a2⎛⎝⎜
⎞⎠⎟
a2 − 2ab + b2 − a + b
(a − b)(a − b −1)
(a − b)(a − b +1)(a − b)(a + b −1)
(a + b)(a − b +1)
(a − b −1)2
2an+1 − 7an − 30an−1
(an − 6)(2a + 5)
an (a + 6)(2a − 5)
an (a − 6)(2a + 5)
an−1(a + 6)(2a − 5)
an−1(a − 6)(2a + 5)
9 − a2 − b2 + 2ab =
(3− a − b)(3− a + b)(3− a − b)(3+ a − b)
(3− a − b)(3+ a + b)
(3− a + b)(3+ a − b)
(3− a + b)(3+ a + b)
x2 − y2 + 2x +1
(x + y +1)(x + y −1)
(x + y +1)(x − y +1)(x + y −1)(x − y +1)
(x + y −1)(x − y −1)
(x − y +1)(x − y −1)
x2 − y2 − x + y =
(x − y)(x − y −1)
(x − y)(x + y −1)
(x − y)(x + y +1)(x + y)(x − y −1)
(x + y)(x − y +1)
Page of 3 4
![Page 4: Factorization, MC Question - WordPress.com](https://reader031.fdocuments.in/reader031/viewer/2022013012/61cf59869c84d62fce3b1439/html5/thumbnails/4.jpg)
Factorization, MC Question HKCEE MATH Past Paper 1980-2011
Q12. 2000/2
Factorize ! .
A. !
B. !
C. !
D. !
E. !
Q13. 2003/39
!
A. !
B. !
C. !
D. !
Q14. 2006/4
!
A. !
B. !
C. !
D. !
Q15. 2008/5
Which of the following must have ! as a factor?
I. ! II. ! III. !
A. I only B. II only C. I and III only D. II and III only
Q16. 2010/4
!
A. !
B. !
C. !
D. !
x2 − x − xy + y
(x − y)(x −1)
(x − y)(x +1)
(x + y)(x −1)(1− x)(x + y)
(1+ x)(y − x)
x3 − 27x3
=
x + 3x
⎛⎝⎜
⎞⎠⎟ x2 − 6 + 9
x2⎛⎝⎜
⎞⎠⎟
x + 3x
⎛⎝⎜
⎞⎠⎟ x2 − 3+ 9
x2⎛⎝⎜
⎞⎠⎟
x − 3x
⎛⎝⎜
⎞⎠⎟ x2 + 6 + 9
x2⎛⎝⎜
⎞⎠⎟
x − 3x
⎛⎝⎜
⎞⎠⎟ x2 + 3+ 9
x2⎛⎝⎜
⎞⎠⎟
pr + qr − ps − qs =
(p + q)(r − s)(p + q)(s − r)
(p − q)(r − s)
(p − q)(s − r)
x + y
x2 − y2
x2 + y2
x(x + y)− x − y
ab + ac − a2 − bc =
(a − b)(b + c)
(a − b)(c − a)(a − c)(b + c)
(a + b)(c − a)
Page of 4 4