1. ALGEBRA 01 - TAKE HOME PROBLEMS
1. When rounded-off to four significant
figures, 102.4886 becomes:
A. 102.4
B. 102.4889
C. 102.48
D. 102.5
2. Which of the following statements is
correct?
A. 0.0010 has one significant figure
B. 200 has two significant figures
C. 100.00 has five significant figures
D. 0.003280 has three significant
figures
3. The most significant digit of the number
0.2015 is
A. 0
B. 1
C. 2
D. 5
4. Solve for the value of x of the equation:
𝑥𝑥𝑥𝑥𝑥𝑥𝑥𝑥
= 10
A. 0.618
B. 1.258
C. 1.852
D. 0.453
5. If 9𝑥𝑥
= 27𝑦𝑦
and 8𝑦𝑦
= 16𝑧𝑧
, then what is the
value of x:y:z?
A. 1:3:6
B. 3:1:2
C. 6:2:1
D. 6:4:3
6. If 3𝑥𝑥 = 4𝑦𝑦, then
3𝑥𝑥2
4𝑦𝑦2 =
A.
3
4
B.
4
3
C.
27
64
D.
9
16
7. If log 𝑥𝑥 = − 1 𝑛𝑛
⁄ , then the value of x is:
A. 101 𝑛𝑛
⁄
B. 10−1 𝑛𝑛
⁄
C. 10𝑛𝑛
D. 10−𝑛𝑛
8. In a morning walk, three persons step off
together. Their steps measure 75 cm, 80
cm, and 90 cm respectively. What is the
minimum distance each should walk so it
can cover the same distance in complete
steps?
A. 3600 cm
B. 4500 cm
C. 7200 cm
D. 540,000 cm
9. Determine the absolute value of the
complex number 3+4i.
A. 4
B. 8
C. 5
D. 6
10. Find the value of x: √20 − 𝑥𝑥 = 𝑥𝑥
A. 4, -5
B. -4, 5
C. -4, -5
D. No Solution
11. Find the value of x to satisfy the following
equation: 𝑥𝑥 + 𝑦𝑦 = 7 ; 𝑥𝑥2
+ 2𝑦𝑦2
= 34
A. 3
B. 4
C. 2
D. 5
12. What are all the ordered triples of real
number (x,y,z) which satisfy the following
equations?
(𝑥𝑥 + 𝑦𝑦)(𝑥𝑥 + 𝑦𝑦 + 𝑧𝑧) = 384
(𝑦𝑦 + 𝑧𝑧)(𝑥𝑥 + 𝑦𝑦 + 𝑧𝑧) = 288
(𝑥𝑥 + 𝑧𝑧)(𝑥𝑥 + 𝑦𝑦 + 𝑧𝑧) = 480
I. (12,4,8)
II. (-12, -4, -8)
A. I only
B. II only
C. I and II
D. none of these
2. 13. Solve for the constant “m” in 𝑥𝑥2
− 4𝑥𝑥 +
3𝑚𝑚 = 0 if one root exceeds by the other by
2.
A. 1
B. 3
C. 2
D. 5
14. Which of the following is a prime number?
A. 377
B. 313
C. 357
D. 333
15. If 𝑦𝑦 = 𝑥𝑥 + 1 𝑥𝑥
⁄ , x cannot be equal to 0, then
the equation (𝑥𝑥2
− 3𝑥𝑥 + 1)(𝑥𝑥2
− 5𝑥𝑥 +
1) = 6𝑥𝑥2
reduces to:
A. 𝑦𝑦2
− 8𝑦𝑦 + 9 = 0
B. 𝑦𝑦2
− 8𝑦𝑦 + 7 = 0
C. 𝑦𝑦2
+ 8𝑦𝑦 − 9 = 0
D. 𝑦𝑦2
− 8𝑦𝑦 − 7 = 0
16. Solve the value of x: 𝑥𝑥2 3
⁄
+ 𝑥𝑥−2 3
⁄
=
17
4
.
A. 8
B. 1/8
C. -8
D. All of these
17. If a, b and c be three real numbers such that
𝑎𝑎 + 2𝑏𝑏 + 4𝑐𝑐 = 0. Then, the equation 𝑎𝑎𝑎𝑎2
+
𝑏𝑏𝑏𝑏 + 𝑐𝑐 = 0.
A. has its roots lying within -1<x<0
B. has both the roots complex
C. has its roots lying within 2<x<6
D. has one of its roots equal to 1/2
18. Two or more equations are equal if and only
if they have the same
A. solution set
B. degree
C. order
D. variable set
19. Solve for x: √𝑥𝑥 + �𝑥𝑥 − √1 − 𝑥𝑥 = 1
A. 13/25
B. 17/25
C. 16/25
D. 22/25
20. Which of the following state is NOT correct?
A. 𝜋𝜋0
= 1
B. 𝑒𝑒0
= 1
C. 00
= 1
D. ln 1 = 0
21. The equation whose roots are twice the
roots of the equation 𝑥𝑥2
− 3𝑥𝑥 + 3 = 0 is:
A. 𝑥𝑥2
− 3𝑥𝑥 + 6 = 0
B. 𝑥𝑥2
− 6𝑥𝑥 + 12 = 0
C. 𝑥𝑥2
− 4𝑥𝑥 + 8 = 0
D. 𝑥𝑥2
− 8𝑥𝑥 + 6 = 0
22. Solve the value of x in the equation:
38.5𝑥𝑥
= 6.5(𝑥𝑥−2)
A. -2.10
B. -5.01
C. 3.8
D. -3.1
23. Simplify: log 𝑥𝑥 + log 𝑥𝑥3
+ log 𝑥𝑥5
A. log(𝑥𝑥 + 𝑥𝑥3
+ 𝑥𝑥5
)
B. log 9𝑥𝑥
C. 9 log 𝑥𝑥
D. 15 log 𝑥𝑥
24. Given the equation 2𝑥𝑥2
+ 𝑥𝑥 − 10 = 0. Find
the product of roots.
A. 5
B. -½
C. -5
D. ½
25. Given: log𝑎𝑎 𝑥𝑥 = 5𝑦𝑦 + log𝑎𝑎 𝑦𝑦. Find the value
of x.
A. 𝑥𝑥 = 𝑎𝑎5𝑦𝑦
B. 𝑥𝑥 = 5𝑎𝑎𝑎𝑎
C. 𝑥𝑥 = 5𝑎𝑎𝑦𝑦
D. 𝑥𝑥 = 𝑦𝑦𝑦𝑦5𝑦𝑦
26. If the sum of the roots of a quadratic
equation is 12 and the product is 36, then
what is the difference of the roots?
A. 1
B. 0
C. 3
D. 6
27. What is the logarithm of negative number?
A. zero
B. rational
C. irrational
D. complex
28. Solve the value of x: 𝑥𝑥−3
− 9𝑥𝑥−3 2
⁄
+ 8 = 0.
A. 1/8
3. B. -1
C. 8
D. ¼
29. Solve the value of x: 1.4 = (
0.0613
𝑥𝑥
)1.32
A. 0.5471
B. 0.04751
C. 0.7541
D. 0.4571
30. The surface area of A of a hollow cone is
given by A=πrL. Determine, correct to 1
decimal place, the surface area when r=3.0
cm and L=8.5 cm.
A. 80.11 cm2
B. 80.1 cm2
C. 80.1106 cm2
D. 80.0 cm2
31. Solve for x if 8𝑥𝑥
= 2(𝑦𝑦+2)
and 16(3𝑥𝑥−𝑦𝑦)
=
4𝑦𝑦
A. 1
B. 2
C. 3
D. 4
32. What are the roots of the cubic equation
𝑥𝑥3
− 8𝑥𝑥 − 3 = 0?
A. x = -7.90, -3, -0.38
B. x = -3, -2, 2
C. x = -3, -0.38, 2
D. x = -2.62, -0.38, 3
33. What is most nearly the value of x that
satisfies the expression 17.3 = e1.1x
?
A. 0.17
B. 2.6
C. 5.8
D. 15
34. What is the solution of the equation
50𝑥𝑥2
+ 5(𝑥𝑥 − 2)2
= −1, where x is a real-
valued variable?
A. -6.12 or -3.88
B. -0.52 or 0.700
C. 7.55
D. no solution
35. Which of the following is a happy number?
A. 143
B. 69
C. 88
D. 100
36. How many real solutions does the equation:
𝑥𝑥7
+ 14𝑥𝑥5
+ 16𝑥𝑥3
+ 30𝑥𝑥 − 560 = 0 have?
A. 1
B. 3
C. 5
D. 7
37. What is the discriminant of the equation:
4𝑥𝑥2
− 8𝑥𝑥 + 5 = 0?
A. 8
B. -16
C. 16
D. -8
38. How many positive real root(s) in the given
equation: 4𝑥𝑥3
− 2𝑥𝑥2
+ 𝑥𝑥 − 3 = 0.
A. 2
B. 1
C. 3
D. 0
39. What is the natural logarithm of exy
?
A.
1
𝑥𝑥𝑥𝑥
B. xy
C. 2.718xy
D.
2.718
𝑥𝑥𝑥𝑥
40. What is the value of (0.001)2/3
?
A. antilog �
3
2
log 0.001�
B.
2
3
antilog[log 0.001]
C. antilog �log �
0.001
2 3
⁄
��
D. antilog �
2
3
log 0.001�
41. Factor the expression 3𝑥𝑥3
− 3𝑥𝑥2
− 18𝑥𝑥
A. 3𝑥𝑥(𝑥𝑥 − 3)(𝑥𝑥 + 2)
B. 3𝑥𝑥(𝑥𝑥 + 3)(𝑥𝑥 − 2)
C. 3𝑥𝑥(𝑥𝑥 + 3)(𝑥𝑥 + 2)
D. 3𝑥𝑥(𝑥𝑥 − 3)(𝑥𝑥 − 2)
42. Which of the following best describe 8 +
0𝑖𝑖?
A. irrational number
B. real number
C. imaginary
D. surd
4. 43. Simplify the given fraction
3𝑥𝑥−1
𝑥𝑥2−1
−
𝑥𝑥+3
𝑥𝑥2+3𝑥𝑥+2
−
1
𝑥𝑥+2
A.
1
2𝑥𝑥−3
B.
1
𝑥𝑥+1
C.
1
2𝑥𝑥+3
D.
1
𝑥𝑥−1
44. Find the equation of whose roots are the
reciprocal of the roots of 2𝑥𝑥2
− 3𝑥𝑥 − 5 = 0
A. 5𝑥𝑥2
− 3𝑥𝑥 − 2 = 0
B. 5𝑥𝑥2
− 12𝑥𝑥 + 10 = 0
C. 5𝑥𝑥2
+ 3𝑥𝑥 − 2 = 0
D. 5𝑥𝑥2
− 15𝑥𝑥 + 2 = 0
45. Resolve
(𝑥𝑥+2)
(𝑥𝑥2−7𝑥𝑥+12)
into partial fraction.
A.
6
(𝑥𝑥−4)
−
2
(𝑥𝑥−3)
B.
6
(𝑥𝑥−4)
−
5
(𝑥𝑥−3)
C.
6
(𝑥𝑥−4)
+
7
(𝑥𝑥−3)
D.
6
(𝑥𝑥−4)
+
5
(𝑥𝑥−3)
46. One root of the equation 5𝑥𝑥2
+ 13𝑥𝑥 + 𝑚𝑚 =
0 is reciprocal of the other m equals:
A. 0
B. 5
C. 6
D. 1/6
47. Which of the following is the complete
factor of 𝑥𝑥4
+ 5𝑥𝑥2
− 36
A. (𝑥𝑥 + 4)(𝑥𝑥 + 5)
B. (𝑥𝑥 − 2)(𝑥𝑥 + 2)(𝑥𝑥2
+ 9)
C. (𝑥𝑥2
− 4)(𝑥𝑥 + 3)
D. None of these
48. Divide 𝑥𝑥4
− 10𝑥𝑥2
− 9𝑥𝑥 − 20 by 𝑥𝑥 − 4.
What is the remainder?
A. 50
B. 40
C. 45
D. 38
49. If one root of 9𝑥𝑥2
− 6𝑥𝑥 + 𝑘𝑘 = 0 exceeds
the other by 2, find the value of k.
A. 6
B. 8
C. -8
D. -6
50. What is the quadratic equation if the
product and sum of its roots are -32 and -4,
respectively?
A. 𝑥𝑥2
+ 4𝑥𝑥 − 32 = 0
B. 𝑥𝑥2
− 4𝑥𝑥 − 32 = 0
C. 𝑥𝑥2
− 4𝑥𝑥 + 32 = 0
D. 𝑥𝑥2
+ 4𝑥𝑥 + 32 = 0
51. The roots of a quadratic equation are: 1/3
and 1/4. What is the equation?
A. 2𝑥𝑥2
− 17𝑥𝑥 + 10 = 0
B. 𝑥𝑥2
− 14𝑥𝑥 + 9 = 0
C. 10𝑥𝑥2
− 5𝑥𝑥 + 2 = 0
D. 12𝑥𝑥2
− 7𝑥𝑥 + 1 = 0
52. The number 34,787.00 has how many
significant digits?
A. 5
B. 6
C. 7
D. 3
53. The expression 𝑥𝑥4
+ 𝑎𝑎𝑎𝑎3
+ 5𝑥𝑥2
+ 𝑏𝑏𝑏𝑏 + 6
when divided by (𝑥𝑥 − 2) leaves a remainder
of 16 and when divided by (𝑥𝑥 + 1) leaves
the remainder of 10. Find a and b.
A. a=5, b=7
B. a=-5, b=7
C. a=-5, b=-7
D. a=5, b=-7
54. Solve for x in the systems of linear
equations:
2𝑥𝑥 − 𝑦𝑦 + 3𝑧𝑧 = 6
3𝑥𝑥 − 3𝑦𝑦 − 2𝑧𝑧 = 13
2𝑥𝑥 − 3𝑦𝑦 − 3𝑧𝑧 = 16
A. -19/4
B. 3
C. 2/3
D. 1
55. Find the value of z that will satisfy the
following equations: 𝑥𝑥𝑥𝑥 = −8, 𝑦𝑦𝑦𝑦 = −2
and 𝑧𝑧𝑧𝑧 = 4.
A. 1
B. 2
C. 4
D. -4
56. If 2𝑥𝑥 + 4𝑦𝑦 = 7𝑥𝑥 − 6𝑦𝑦, then
1
𝑥𝑥
∶
1
𝑦𝑦
=
A. 2:1
5. B. 1:2
C. 3:1
D. 1:3
57. Solve the root of the given equation:
√2𝑥𝑥 − 6 + √9 − 𝑥𝑥 = 0.
A. 5
B. -5
C. 10
D. No solution
58. If 𝑥𝑥 − 3 is a factor of 𝑘𝑘𝑘𝑘3
− 6𝑥𝑥2
+ 2𝑘𝑘𝑘𝑘 −
12. Solve for k.
A. 2
B. 1
C. 3
D. -2
59. If 𝑓𝑓(𝑥𝑥) = (𝑥𝑥 + 3)(𝑥𝑥 − 4) + 4. When f(x) is
divided by (𝑥𝑥 − 𝑘𝑘), the remainder is k. Find
k.
A. -2 or 4
B. -2 or 2
C. -2 or -4
D. -3 or 6
60. If 3log10 𝑥𝑥 − log10 𝑦𝑦 = 0, express y in terms
of x.
A. 𝑦𝑦 = 𝑥𝑥3
B. 𝑥𝑥 = 𝑦𝑦3
C. 𝑥𝑥 = 𝑦𝑦2
D. 𝑦𝑦 = 𝑥𝑥2
61. Which of the following is equal to
log10 𝑥𝑥𝑥𝑥𝑥𝑥
?
A. 𝑥𝑥𝑥𝑥
log10 𝑥𝑥
B. 𝑥𝑥2
log10(log10 𝑥𝑥)
C. 𝑥𝑥2
log10 𝑥𝑥
D. 𝑥𝑥 log10(𝑥𝑥 log10 𝑥𝑥)
62. If 𝑓𝑓(𝑥𝑥) = 10𝑥𝑥 + 1, then 𝑓𝑓(𝑥𝑥 + 1) − 𝑓𝑓(𝑥𝑥) =
A. 10
B. 11
C. 9 (10x
)
D. 10 (10x
)
63. Find the least common multiple of 26, 39,
and 66.
A. 824
B. 842
C. 864
D. 858
64. Considered as the “counting numbers”.
A. Integers
B. Rational numbers
C. Irrational numbers
D. Natural numbers
65. Find the greatest common divisor of 12 and
16.
A. 4
B. 2
C. 6
D. 8
66. Solve the inequality: (3𝑥𝑥 − 2) ≤ (5𝑥𝑥 − 12).
A. 𝑥𝑥 ≥ 5
B. 𝑥𝑥 > 5
C. 𝑥𝑥 < 5
D. 𝑥𝑥 ≤ 5
67. A statement of truth which follows with
little or no proof from the theorem.
A. Corollary
B. Axiom
C. Postulate
D. Conclusion
68. If 𝑥𝑥 = �1 − �1 − √1−. . . then what is the
value of x?
A. 0.723
B. 0.618
C. 0.675
D. 0.876
69. If i (squared) = -1, then the sum i + i
(squared) + i (cubed) + … to 1000 terms is
equal to:
A. - i
B. - 1
C. 0
D. i
70. Find the value of x: log3(𝑥𝑥2
− 8𝑥𝑥) = 2.
A. - 1
B. 9
C. - 1 and 9
D. 1 and 9
71. What is the smallest positive value of x in
(𝑥𝑥2
+ 4𝑥𝑥 + 4) to be reciprocal of (𝑥𝑥2
−
4𝑥𝑥 + 4) ?
A. sq rt of 3
6. B. sq rt of 5
C. 3
D. 5
72. What is the least common multiple (LCM) of
15 and 18?
A. 90
B. 45
C. 108
D. 75
73. What is the greatest common factor (GCF)
of 70 and 112?
A. 2
B. 14
C. 7
D. 35
74. Two tankers contain 825 liters and 675 liters
of kerosene oil respectively. Find the
maximum capacity of container which can
measure the kerosene oil of both tankers
when used an exact number of times.
A. 50 liters
B. 75 liters
C. 150 liters
D. 25 liters
75. What is the base-10 logarithm of (1000)3
?
A. 3
B. 6
C. 9
D. 27
76. Which of the following is not a rational
number?
A. 5
B. 0.227272727…
C. ¼
D. √2
77. What is the value of the square root of -64 x
square root of -225?
A. 8i
B. – 120
C. 8i/15
D. – 120i
78. Round-off 7.65 into two significant digits
A. 7.6
B. 7.7
C. 7.0
D. 8.0
79. The number 0.005328 has how many
significant digits?
A. 8
B. 5
C. 4
D. 7
80. 38.5 to the x power = 6.5 to the x-2 power,
solve for x using logarithms.
A. 2.70
B. 2.10
C. -2.10
D. -2.02
81. What is the smallest counting number that
is divisible by each of the fifteen-counting
number?
A. 360,360
B. 1000
C. 100,000
D. 100
82. The time of swing t seconds, of a simple
pendulum is given by the equation below.
Determine the time correct to 3 decimal
places, given that L = 12.0 and g = 9.81.
𝑡𝑡 = 2𝜋𝜋�
𝐿𝐿
𝑔𝑔
A. 6.949
B. 6.950
C. 6.94
D. 7.00
83. Determine the sum of the positive valued
solutions to the simultaneous equations:
xy = 15 yz = 35 zx = 21
A. 17
B. 19
C. 15
D. 20
84. What is the value of log(𝑥𝑥𝑥𝑥)𝑥𝑥
?
A. 2𝑥𝑥 log 𝑥𝑥
B. 𝑥𝑥2
log 𝑥𝑥
C. 𝑥𝑥 log 𝑥𝑥2
D. (𝑥𝑥 log 𝑥𝑥)𝑥𝑥
85. Solve the value of x: 𝑥𝑥𝑥𝑥𝑥𝑥
+ 𝑥𝑥𝑥𝑥
= 9
A. 2.52
7. B. 1.823
C. 3
D. 1
86. If (𝑥𝑥 + 4) is a factor of 𝑥𝑥3
+ 2𝑥𝑥2
− 7𝑥𝑥 + 𝑘𝑘,
what is the value of k?
A. 2
B. 4
C. 3
D. 5
87. Two reviewees attempt to solve a problem
that reduces to a quadratic equation. One
of the reviewees made a mistake in the
constant term and gave an answer of 8 and
2 for the roots. The other reviewee made a
mistake in the coefficient of the first degree
term and gave an answer of -9 and -1 for
the roots. If you are to check their solutions,
what would be the correct quadratic
equation?
A. 𝑥𝑥2
− 3𝑥𝑥 + 9 = 0
B. 𝑥𝑥2
− 12𝑥𝑥 + 10 = 0
C. 𝑥𝑥2
− 10𝑥𝑥 + 9 = 0
D. 𝑥𝑥2
− 15𝑥𝑥 + 20 = 0
88. Solve the simultaneous equations:
2𝑥𝑥2
− 3𝑦𝑦2
= 6
3𝑥𝑥2
+ 2𝑦𝑦2
= 35
A. x = 3 or -3 and y = 2 or -2
B. x = 3 or -3 and y = -2 or 1
C. x = 3 or -3 and y = -2 or-1
D. x = 3 or -3 and y = 1 or -1
89. Find the factor of 𝑥𝑥3
+ 𝑥𝑥2
− 𝑥𝑥 − 1.
A. 𝑥𝑥(𝑥𝑥2
− 1)(𝑥𝑥 + 1)
B. (𝑥𝑥2
+ 1)(𝑥𝑥 + 1)
C. (𝑥𝑥2
− 1)(𝑥𝑥 − 1)
D. (𝑥𝑥2
− 1)(𝑥𝑥 + 1)
90. The sum and product of conjugate numbers
are:
A. complex numbers
B. real numbers
C. rational numbers
D. pure imaginary number
91. Determine the value of k so that when 𝑥𝑥4
+
3𝑥𝑥3
+ 2𝑥𝑥2
+ 𝑘𝑘𝑘𝑘 + 20 is divided by 𝑥𝑥 − 2,
the remainder is 68.
A. 0
B. 1
C. 2
D. 3
92. Factor the expression 𝑥𝑥2
+ 6𝑥𝑥 + 8.
A. (𝑥𝑥 + 2)(𝑥𝑥 + 4)
B. (𝑥𝑥 + 8)(𝑥𝑥 + 1)
C. (𝑥𝑥 − 2)(𝑥𝑥 − 4)
D. (𝑥𝑥 − 1)(𝑥𝑥 − 8)
93. What is the depressed equation of 4𝑥𝑥3
−
2𝑥𝑥2
+ 𝑥𝑥 − 3 = 0.
A. 4𝑥𝑥3
− 2𝑥𝑥2
+ 𝑥𝑥
B. 4𝑥𝑥2
+ 2𝑥𝑥2
+ 3
C. 4𝑥𝑥3
− 2𝑥𝑥2
+ 𝑥𝑥
D. (𝑥𝑥 − 1)(4𝑥𝑥2
+ 2𝑥𝑥2
+ 3)
94. Resolve into partial fractions:
𝑥𝑥+14
𝑥𝑥2+3𝑥𝑥−4
A.
3
𝑥𝑥−1
−
2
𝑥𝑥+4
B.
2
𝑥𝑥−1
+
3
𝑥𝑥+4
C.
3
𝑥𝑥−1
+
2
𝑥𝑥+4
D.
3
𝑥𝑥−1
−
4
𝑥𝑥+4
95. If 𝑥𝑥 − 𝑦𝑦 = 5 and 𝑥𝑥𝑥𝑥 = 𝑘𝑘, then 𝑥𝑥2
+ 𝑦𝑦2
=
A. 25
B. 25 + 2k
C. 25 – k
D. 25 – 2k
96. Log of the nth root of x equals log of x to
the 1/n power power and also equal to:
A.
log(𝑥𝑥)
𝑛𝑛
B. 𝑛𝑛 log(𝑥𝑥)
C.
log(𝑥𝑥)1 𝑛𝑛
⁄
𝑛𝑛
D. (𝑛𝑛 − 1) log(𝑥𝑥)
97. If log4 𝑥𝑥 = 𝑛𝑛, then 8𝑛𝑛
=
A. 2x
B. x/2
C. x3/2
D. x2
98. How many complex root(s) in the given
equation 4𝑥𝑥3
− 2𝑥𝑥2
+ 𝑥𝑥 − 3.
A. 2
B. 1
C. 3
D. 0
8. 99. What is the lowest common factor of 10
and 32?
A. 320
B. 2
C. 180
D. 90
100. Find A and B such that
𝑥𝑥+10
𝑥𝑥2−4
=
𝐴𝐴
𝑥𝑥−2
+
𝐵𝐵
𝑥𝑥+2
A. A = -3, B = 2
B. A = -3, B = -2
C. A = 3, B = -2
D. A = 3, B = 2