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Worksheets

Algebra 2 Semester 1 Final Study

Total questions: 150

Worksheet time: 11hrs 8mins

Name
Class
Date
1.
Classify
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
2.
Classify by the DEGREE:
3x - 2
a)
1
b)
2
c)
3
d)
4
3.
Polynomial or not?
5x4 - 7x
a)
polynomial
b)
not a polynomial
4.
Polynomial or not?
a)
polynomial
b)
not a polynomial
5.
Rewrite the polynomial in standard form: -5 + 4m
a)
-5 + 4m
b)
4m - 5
c)
-4m + 5
d)
4m2 - 5
6.
What is the leading coefficient of the following polynomial?
5x²-3x+6
a)
2
b)
-3
c)
5
d)
6
7.
Classify the polynomial by its number of terms.
 4x² - 2
a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

8.
What is the degree of the polynomial?
x3y- 7x2y + 3
a)

1

b)

3

c)

5

d)

7

9.
How many terms are in the following polynomial?
3xy - 2y + 8x - 7z -16
a)

1

b)

2

c)

4

d)

5

10.
Which is an example of a cubic monomial?
a)

x³ + 5

b)

2x² + 3

c)

3x² + 5x - 6

d)

5x³

11.
f(x) = 2x2 + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].
a)
2
b)
1/2
c)
-2
d)
-1/2
12.
Which of the following intervals has the largest average rate of change?
a)
[13,14]
b)
[13, 17]
c)
[16, 17]
d)
[16, 19]
13.
Find the average rate of change over the given interval. 
a)
-2
b)
2
c)
-1
d)
-0.5
14.

What is the rate of change?

a)

2

b)

1/2

c)

1

d)

1.5

15.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
subtract y coordinates over subtract x coordinates
d)
all of the above
16.

Find the rate of change between the points (-2 , 10) & (4 , 14)

a)

2/3

b)

3/2

c)

-2/3

d)

2/1

17.
Average Rate of Change is also known as...
a)
y-intercept
b)
x-intercept
c)
linear
d)
slope
18.

Find the average rate of change of f(x)=2x2+3x-1 from 1 to 2.

a)

18

b)

-9

c)

9

d)

3

19.
Find the average rate of change over the given interval. 
a)
4
b)
7
c)
7/3
d)
3/7
20.

What is the average rate of change of f(x) = 5x - 7 on the interval -3 ≤ x ≤ 7 ?

a)

12\frac{1}{2}

b)

5

c)

10

d)

2

21.
Combine like terms to simplify:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
22.

(4x2+ x) - (x2+ 2x)

a)

3x2 - x

b)

4x2 + 2x

c)

3x2 + 3x

d)

3x2 + 2x

23.
5x2+ x - x2+ 4x
a)
6x2 + 5x
b)
4x2 + 3x
c)
4x2 + 5x
d)
5x2 + 5x
24.
-7xy + x + y + x - 3xy
a)
10xy +2x + y
b)
-10xy + 2x + y
c)
-10xy + y
d)
-10xy + x + y
25.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
26.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y+ 7y- 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y-y - 4
d)
4y+ 3y-3y + 1
27.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x+ 3x +1
b)
-2x- 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
28.
Add the polynomials.
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
a)
4x3 + 1x2 – 3x + 1
b)
2x3 + 1x2 - 5x + 9
c)
6x3 + 1x - 1x2 - 3
d)
3x5 +1x - 1x5 - 3x
29.
Add: (3x2 + 2x + 1) + (2x2 - 4x - 5) + (3x - 1)
a)
5x2 + 6x - 7
b)
8x- 3x - 5
c)
5x+ x - 5
d)
6x2 + 8x + 5
30.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
31.
(d4)(d5)
a)
2d4
b)
d9
c)
d2
d)
2d
32.
2a x 6a2
a)
12a3
b)
12a
c)
2a2
d)
6a3
33.
(-x5)(y3)
a)
-x8y
b)
-xy8
c)
-x5y3
d)
-(xy)8
34.
1.)  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
35.
-2x(x7 + 5)
a)
-8x7 - 10
b)
-2x8 - 10x
36.
(4c3)2
a)
8c5
b)
8c6
c)
4c6
d)
16c6
37.

10x(2x2+3x+4)

a)

20x3+30x2+40x

b)

20x2+30x+40

c)

12x3+13x2+14x

d)

12x2+13x+14

38.

-2v(v-5)

a)

-2v2-10v

b)

-2v2+10v

c)

-2v-10

d)

-2v+10

39.

When multiplying a monomial and a polynomial, the key is ....

a)

multiply the coefficients & add the exponents

b)

add the coefficients & multiply the exponents

c)

a nice, sharp pencil

40.


3x2y3(2xy45y)3x^2y^3\left(2xy^4-5y\right)  

a)

6x3y715x2y46x^3y^7-15x^2y^4  

b)

5x2y122x2y35x^2y^{12}-2x^2y^3  

c)

6x2y715x2y36x^2y^7-15x^2y^3  

41.
Multiply.
(x + 2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
42.

Find the product.

(x - 2)2

a)

x2 + 2x + 2x + 4

b)

x2 + 2x + 2

c)

7x2 + x + 7

d)

x2 - 4x + 4

43.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
44.
(5x-1)(x+1)
a)
5x2 + 4x - 1
b)
5x2+6x - 1
c)
5x2 - 4x -1
d)
5x2 + 4x + 1
45.
(3x − 6)(7x + 7)
a)
21x2 − 63x + 42
b)
21x2 − 21x − 42
c)
21x2 − 42
d)
21x2 + 63x + 42
46.
(x + 7)(x + 9)
a)
x2 + 63x + 16
b)
x2 + 16x + 63
c)
x2 + 79
d)
x2 + 16x + 2
47.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
48.
(5c-2)(3c2-5c+4)
a)
15c3-31c4+30c2-8
b)
15c3-19c2+10c-8
c)
15c3-31c2+30c-8
d)
15c3-31c2+30c+8
49.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
50.
(3x − 6)(7x + 7)
a)
21x2 − 63x + 42
b)
21x2 − 21x − 42
c)
21x2 − 42
d)
21x2 + 63x + 42
51.
What do we call the graph of a quadratic function?
a)
parabola
b)
linear
c)
cubic
d)
sinusoidal
52.
Which letter in a quadratic formula represents the y-intercept?
a)
a
b)
b
c)
c
53.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
54.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
55.
Identify the vertex
a)
(-1,-9)
b)
(0,-8)
c)
(-4,0)
d)
(0,0)
56.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
57.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
58.
What is the axis of symmetry for this graph?
a)
y=2
b)
x=2
c)
x=0
d)
y=0
59.
Is the vertex of the parabola a max or min?
a)
max
b)
min
c)
cannot be determined
d)
Neither a max or a min.
60.

Determine the vertex

a)

(2, 4)

b)

(2, 6)

c)

(4, 2)

d)

(-2, 4)

61.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
62.
Find the y-intercept of
f(x) = 2x2-2x + 1

a)
2
b)
-2
c)
1
d)
-1
63.
If given the equation
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
64.
What is the equation of this graph?
a)
f(x) = (x -5)2 + 1
b)
f(x) = (x - 1)2 - 5
c)
f(x) = (x + 1)2 - 5
d)
f(x) = (x + 5)2 +1
65.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
66.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
67.
Which equation has a vertex of (-3, 4)?
a)
y = 2(x+3)+ 4
b)
y = (x+3)2 - 4
c)
y = (x-3)2 + 4
d)
y = 2(x - 3)2 + 4
68.
Convert the equation y= x2-2x-5 into vertex form. 
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
69.
Convert the equation y= x2+4x into vertex form. 
a)
y= (x+4)2-4
b)
y= (x-2)2+4
c)
y= (x+2)2-4
d)
y= (x+2)2
70.
Which of the following shows
f(x) = x2 - 8x + 1
written in vertex form?
a)
f(x) = (x - 4)2 - 15
b)
f(x) = (x - 4)2 + 17
c)
f(x) = (x - 4)2 - 17
d)
f(x) = (x - 4)2 + 65
71.

Convert the equation y= x2 + 4x + 11 into vertex form.

a)

y = (x + 2)2 - 4

b)

y = (x + 2)2 + 7

c)

y = (x + 2)2

d)

y = (x - 2)2 - 7

72.

y=3(x+5)24y=-3(x+5)^2-4  
Convert the equation from vertex form to standard form.

a)

y = 9x2 - 15x + 21

b)

y = -3x2 - 75x - 4

c)

y = 9x2 + 90x + 221

d)

y = -3x2 - 30x - 79

73.

y=5(x+2)210y=-5(x+2)^2-10  
Convert the equation from vertex form to standard form.

a)

y = -5x2 - 20x - 30

b)

y = -5x2 - 4x - 10

c)

y = 25x2 + 100x + 90

d)

y = 25x2 - 10x - 30

74.


y=4(x+2)28y=4(x+2)^2-8

Convert the equation from vertex form to standard form. 

a)

y=4x2+16x+8y=4x^2+16x+8  

b)

y=4x2+16x+16y=4x^2+16x+16  

c)

y=16x2+64x8y=16x^2+64x-8  

d)

y=16x2+256x+8y=16x^2+256x+8  

75.

y=23(x9)22y=-\frac{2}{3}(x-9)^2-2  
Convert the equation from vertex form to standard form

a)

y=23x212x52y=-\frac{2}{3}x^2-12x-52  

b)

y=23x2+12x56y=-\frac{2}{3}x^2+12x-56  

c)

y=23x2+18x56y=-\frac{2}{3}x^2+18x-56  

d)

y=23x218x+52y=-\frac{2}{3}x^2-18x+52  

76.

Factor:

x2 + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

77.
Factor:
x2 - 10x + 24
a)
(x - 6)(x - 4)
b)
(x + 6)(x + 4)
c)
(x - 12)(x + 2)
d)
(x - 8)(x - 3)
78.
Factor:
x2 - 10x - 24
a)
(x + 12)(x - 2)
b)
(x - 6)(x - 4)
c)
(x - 12)(x + 2)
d)
(x +6)(x - 4)
79.
Factor:
x2 - 14x + 24
a)
(x - 8)(x - 3)
b)
(x - 12)(x - 2)
c)
(x - 6)(x - 4)
d)
(x - 24)(x - 1)
80.
Find GCF of 22x3+11x2
a)
11x
b)
11x2
c)
22x
d)
22x2
81.
Factor:
18b2-9b3
a)
9b2(18-9b)
b)
9b2(2-b)
c)
9b2(18-9b2)
d)
b2(2-b2)
82.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
83.
Factor: 5n² - 6n - 27
a)
(5n + 3)(n-9)
b)
(5n - 3)(n + 9)
c)
(5n + 9)(n - 3)
d)
(5n - 9)(n + 3)
84.
Factor (hint...take out the greatest common factor first)
2c2 + 2c - 84
a)
(c-6)(2c+14)
b)
(c+7)(2c-12)
c)
(c-4)(2c+21)
d)
2(c+7)(c-6)
85.
Find the factors of 5x2+20x+20
a)
5(x+2)(x+2)
b)
5(x-2)(x-2)
c)
5(x+2)(x-2)
d)
(5x+2)(x+2)
86.
Factor:
 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
87.

Solve by factoring: x2 - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

88.

Solve by factoring: x2 + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

89.
Solve by factoring:  2x2+ 7x + 6 = 0
a)
x= 3/2 and x = 2
b)
x = -3/2 and x = -2
c)
x = 6 and x = 7
d)
x = -6 and x = -7
90.

Solve by factoring: 2x2 - 5x - 12 = 0

a)

x = -4 and x = -6

b)

x = 4 and x = -3/2

c)

x = 4 and x = 6

d)

x = -4 and x = 3/2

91.

x2 -4 = 77

a)

9

b)

-9

c)

No Real Solutions

d)

±9

92.
Solve by taking square roots:
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solutionb
93.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
94.
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter 
a)
a=0, b=5, c=7
b)
a=1, b=5, c=7
c)
a=7, b=5, c=1
95.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
96.
Solve Using the Quadratic Formula 
2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
97.
Use the quadratic formula to find the solutions for
y = 3x3 + 8x - 1
a)
0.1167 and -2.7833
b)
.7 and -16.7
c)
.35 and -8.35
d)
0.2358 and -1.236
98.
Solve using the quadratic formula...
9x2 = 4 + 7x
a)
x = 2 and x = 3
b)
x = -1 and x = .25
c)
x = 1 and x = -.45
d)
x = 1.16, and x = -.38
99.
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
a)
-4.9 and -0.1
b)
-8.54 and 8.54
c)
-0.45 and 3.55
d)
-6.77 and 1.77
100.
a)
4,-1
b)
8/3,9/5
c)
1/5,3/7
d)
7,-2
101.

Express  300\sqrt{-300}  in terms of  ii  

a)

10310\sqrt{3}  

b)

i300i\sqrt{300}  

c)

10i310i\sqrt{3}  

d)

300-\sqrt{300}  

102.

Express  225\sqrt{-225}  in terms of  ii  

a)

15i15i  

b)

15i-15i  

c)

i15i\sqrt{15}  

d)

i15-i\sqrt{15}  

103.
What does i=  ?
a)
1
b)
-1
c)
√-1
d)
√1
104.
Simplify √-45
a)
3i√5
b)
-3i√5
c)
-i√45
d)
45i
105.
i7
a)
i
b)
-i
c)
1
d)
-1
106.
i13
a)
-1
b)
1
c)
i
d)
-i
107.
What is i129?
a)
-i
b)
i
c)
1
d)
-1
108.
Simplify.
a)
-5i
b)
5
c)
5i
d)
-5
109.

20\sqrt{-20}  

a)

2i52i\sqrt{5}  

b)

2i5-2i\sqrt{5}  

c)

20i20i  

d)

20i-20i  

110.

5(49)5\left(\sqrt{-49}\right)  

a)

35

b)

35i35i  

c)

-35

d)

35i-35i  

111.
Simplify √-81
a)
-√81
b)
-9i
c)
9i
d)
81i
112.

Which of the is a complex number?

a)

2

b)

4i

c)

3 + 5i

d)

All of them

e)

none of them

113.

A complex number can be expressed as a + bi. What does a represent?

a)

the real part of the complex number

b)

the imaginary part of the complex number

c)

depends on the sign of the number

d)

the square root of the complex number

114.
What complex number is represented by the graph?
a)
-3-i
b)
-3+i
c)
1+3i
d)
1-3i
115.

What complex number is shown on the graph?

a)

(-2,-3)

b)

-2-3i

c)

2-3i

d)

3i-2

116.

Match the expression to the graph shown in the complex plane.

a)

-2i-3i

b)

(0,-5)

c)

-6i

d)

-2(3i)

117.

Match the expression to the graph shown in the complex plane.

a)

(4,0)

b)

4 + 4i

c)

-4(i2)

d)

4i

118.

What is the "real part" of this complex number:

8 + 2i8\ +\ 2i  

a)

8

b)

2i

119.

What is the "imaginary part" of this complex number:

8 + 2i8\ +\ 2i  

a)

8

b)

2i

120.

What is the "imaginary part" of this complex number:

145i–14–5i  

a)

-14

b)

-5i

c)

14

d)

5i

121.

What is the "real part" of this complex number:

14 – 5i–14\ –\ 5i  

a)

-14

b)

-5i

c)

14

d)

5i

122.

Where is point B located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

123.

Where is point C located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

124.

Where is point A located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

125.
Add/Subtract using the proper rules:
2i + 3 + 7 - 12 i
a)
10i - 10
b)
-10i + 10
c)
14i + 10
d)
-10i + 4
126.
Add/Subtract using the proper rules:
(7 + 2i) - (-12 - 4i)
a)
-5 - 2i
b)
19 - 2i
c)
-5 + 6i
d)
19 + 6i
127.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
128.
Simplify: 
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
129.

What is  (35i)+(4+7i)\left(3-5i\right)+\left(-4+7i\right)  ? 

a)

1+2i-1+2i  

b)

712i7-12i  

c)

1+2i1+2i  

d)

2+3i-2+3i  

130.

 What is (5+3i)(4+7i)?\ What\ is\ \left(-5+3i\right)-\left(4+7i\right)?  

a)

14i-1-4i  

b)

94i-9-4i  

c)

1+4i-1+4i  

d)

9+4i-9+4i  

131.
Simplify: 
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i  - 12i2
c)
51 - 24i
d)
58 + 60i
132.
Multiply
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
133.
Multiply
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
134.
Multiply: 
(4 – 3i)(7 + 2i)
a)
A.  22 - 13i
b)
B.  28 - 19i
c)
C.  34 - 13i
d)
D.  -34 - 29i
135.
Simplify:
-3i(4 + 2i)
a)
6 - 12i
b)
6 + 12i
c)
-12i - 6i2
d)
-12i + 6i2
136.
Multiply: 
(4 – 3i)(-7 – 2i)
a)
A.  -23 + 13i
b)
B.  -23 - 29i
c)
C.  -34 + 13i
d)
D.  -34 - 29i
137.

Multiply:

(1 − 2i)(6 + 5i)

a)

16 − 7i

b)

-16 + 7i

c)

-16 − 7i

d)

16 + 7i

138.
Multiply: 
(4 – 3i)(-7 – 2i)
a)
A.  -23 + 13i
b)
B.  -23 - 29i
c)
C.  -34 + 13i
d)
D.  -34 - 29i
139.

Multiply:

(2 - 5i)(2 + 5i)

a)

29

b)

4 - 25i

c)

25 - 10i

d)

-21

140.

(1+5i)2\left(-1+5i\right)^2  =

(a)  

141.

Are the roots of the function 

f(x)=3x23x+3f\left(x\right)=3x^2-3x+3
real or imaginary?

a)

Real Roots

b)

Imaginary Roots

c)

Impossible to tell

d)

Both

142.

Solve:
x28x20=0x^2-8x-20=0  


a)

x={10,2}x=\left\{10,-2\right\}  

b)

x={10, 2}x=\left\{-10,\ 2\right\}  

c)

x={8±122}x=\left\{\frac{8\pm\sqrt{12}}{2}\right\}  

d)

x={6,1}x=\left\{6,1\right\}  

143.

Find the roots:  x24x+5x^2-4x+5  

a)

x = {-4, -1}

b)

x = {-1, -4}

c)

x = {2 + i, 2 - i}

d)

x = {-2 + i, -2 - i}

144.

Find the roots:
x2 +6x+13x^{2\ }+6x+13

a)

x = {-3 + 2i, -3 - 2i}

b)

x = {7, 6}

c)

x = 2 ± i√3

d)

No solution

145.

Solve for x:
x25x+8=0x^2-5x+8=0


a)

x={5±i72}x=\left\{\frac{-5\pm i\sqrt{7}}{2}\right\}

b)

x={5±i72}x=\left\{\frac{5\pm i\sqrt{7}}{2}\right\}  

c)

x={8±i72}x=\left\{\frac{8\pm i\sqrt{7}}{2}\right\}  

d)

x={5±572}x=\left\{\frac{5\pm\sqrt{57}}{2}\right\}  

146.

Solve for x:
x23x+10=0x^2-3x+10=0


a)

x={3±i31}x=\left\{-3\pm i\sqrt{31}\right\}

b)

x={3±492}x=\left\{\frac{3\pm\sqrt{49}}{2}\right\}  

c)

x={5, 2}x=\left\{5,\ -2\right\}  

d)

x={3±i312}x=\left\{\frac{3\pm i\sqrt{31}}{2}\right\}  

147.

Solve for x: 3x2 - 6x + 6 = 0

a)

x = 1 ± i

b)

x = 3, -6

c)

x = 4.8, 2.7

d)

Undefined

148.

Solve:
x2+6x+27=0x^2+6x+27=0  

a)

3±183\pm\sqrt{18}  

b)

3±i183\pm i\sqrt{18}  

c)

3±i18-3\pm i\sqrt{18}  

d)

3±18-3\pm\sqrt{18}  

149.

Solve the equation 3x2+96=03x^2+96=0  

a)

±42\pm4\sqrt{2}  

b)

±4i2\pm4i\sqrt{2}  

c)

2i42i\sqrt{4}  

d)

±24\pm2\sqrt{4}  

150.

Solve the equation x2+8x+20=0x^2+8x+20=0  

a)

4±2i-4\pm2i  

b)

2i±42i\pm4  

c)

2±4i-2\pm4i  

d)

3±2i3\pm2i