Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve.
1)
x2+5x –72 = 3(x – 8)
1)
A)
–9, 6
B)
–8, –6
C)
–7, 7
D)
–8, 6
Factor completely. If the polynomial is prime, so state.
2)
5x3y5+ 15x2y5– 50xy5
2)
A)
5xy5(x + 2)(x – 5)
B)
5xy5(x – 2)(x + 5)
C)
y5(5x2+ 10x)(x – 5)
D)
prime
Factor the GCF from each term in the expression.
3)
45x +15
3)
A)
15(3x)
B)
15(3x + 1)
C)
5(9x +3)
D)
3(15x + 5)
Factor the sum or difference of two cubes.
4)
u3+v3
4)
A)
(u + v)(u + v)(u + v)
B)
(u2+v2)(u – uv + v)
C)
(u + v)(u2+ uv +v2)
D)
(u + v)(u2– uv +v2)
1
Determine the greatest common factor for the group of terms.
5)
14x4, 7x3y2, 28x2y
5)
A)
28x2y
B)
7x2
C)
28x4
D)
28x2
Factor completely. If the polynomial is prime, so state.
6)
6y2+ 17y + 12
6)
A)
(2y – 3)(3y – 4)
B)
(2y + 3)(3y + 4)
C)
(6y + 3)(y + 4)
D)
prime
Solve the problem.
7)
Josef owns a 75–inch TV (that is, its screen measures 75 inches on the diagonal). If the television
screen is 60 inches wide across the bottom, then what is its height?
7)
A)
43 in.
B)
135 in.
C)
60 in.
D)
45 in.
Factor the difference of two squares.
8)
49 – 16x2
8)
A)
(7 + 4x)2
B)
(7 + 4x)(7– 4x)
C)
(7 – 4x)2
D)
prime
Write the polynomial whose factors are listed.
9)
7, x + 1, 2x + 4
9)
A)
14x2+ 6x + 28
B)
14x2+ 6x + 4
C)
2x2+ 6x + 4
D)
14x2+ 42x + 28
2
Factor the sum or difference of two cubes.
10)
216–t3
10)
A)
(6 + t)(36 –t2)
B)
(6 + t)(36 –6t +t2)
C)
(6 – t)(36 +t2)
D)
(6 – t)(36 +6t +t2)
Write the number as a product of prime numbers.
11)
828
11)
A)
24·23
B)
34·23
C)
23·32·23
D)
22·32·23
Factor the GCF from each term in the expression.
12)
4(x +12)– x(x +12)
12)
A)
(x +12)(4 + x)
B)
(x –12)(x –4)
C)
(4x +48) – (x2+12x)
D)
(x +12)(4 – x)
Factor the polynomial. If the polynomial is prime, so state.
13)
x2+ 62x + 63
13)
A)
(x + 63)(x – 1)
B)
(x – 9)(x + 7)
C)
(x + 9)(x – 7)
D)
prime
Solve.
14)
x2– x =30
14)
A)
1, 30
B)
–5, 6
C)
–5, -6
D)
5, 6
Factor the difference of two squares.
15)
144–w2
15)
A)
(12 + w)2
B)
(12 – w)(12 + w)
C)
(12 – w)2
D)
prime
Factor completely.
16)
x3–16x +6x2–96
16)
A)
(x2–16)(x +6)
B)
(x –4)2(x +6)
C)
(x +4)(x –4)(x +6)
D)
prime
Factor the GCF from each term in the expression.
17)
20x7y4z3+12x3y2z2
17)
A)
12x3y2z2(x4y2z + 1)
B)
4x3y2z2(5x4y2z + 3)
C)
4x7y4z3(5 + 3xyz)
D)
4x7y4z3(5 + 3x3y2z2)
18)
144x7y7+ 160x4y5+ 160x2y3
18)
A)
16x2y3(9x5y4+ 10x2y2+ 10)
B)
16x2(9x5y7+ 10x2y5+ 10y3)
C)
No common factor
D)
16(9x7y7+ 10x4y5+ 10x2y3)
4
Solve the problem.
19)
Find the value of the question mark (?).
12
20
19)
A)
12 cm
B)
32 cm
C)
8 cm
D)
16 cm
Factor completely.
20)
128x4– 250xy3
20)
A)
2x(4x – 5y)(16x2– 20xy + 25y2)
B)
2x(4x – 5y)(16x2+ 20xy + 25y2)
C)
2x(4x + 5y)(16x2– 20xy + 25y2)
D)
2(4x – 5y)(16x2+ 20xy + 25y2)
21)
15x2+ 12x – 25x – 20
21)
A)
(3x – 5)(5x + 4)
B)
(3x + 5)(5x – 4)
C)
(15x + 5)(x – 4)
D)
(15x – 5)(x + 4)
Determine the greatest common factor for the group of terms.
22)
9(a – b) and 7(a – b)
22)
A)
7
B)
(a – b)
C)
9
D)
63(a – b)
Factor completely.
23)
2x2+ 4x – 48
23)
A)
(x – 4)(2x + 12)
B)
2(x – 4)(x + 6)
C)
(-48x – 8)(x + 6)
D)
2(x + 4)(x – 6)
5
Solve.
24)
x2–49 = 0
24)
A)
-7, 7
B)
-7
C)
7
D)
–1, 49
Factor the GCF from each term in the expression.
25)
18x3y5+15xy3+12z2
25)
A)
3z2(6x3y5+5xy3+4)
B)
3(6x3y5+5xy3+4z2)
C)
3xyz(6x2y4+5y3+4z)
D)
No common factor
Factor completely.
26)
36a3– 49a
26)
A)
a(6a + 7)(6a – 7)
B)
(6a2+ 7)(6a – 7)
C)
a(6a – 7)2
D)
a(36a + 1)(a – 49)
Factor completely. If the polynomial is prime, so state.
27)
2x4– 32x3+ 126x2
27)
A)
2x2(x2– 16x + 63)
B)
x2(x – 7)(2x – 18)
C)
2x2(x – 7)(x – 9)
D)
x2(2x – 14)(x – 9)
28)
20y2– 27y + 9
28)
A)
(20y + 3)(y + 3)
B)
(4y – 3)(5y – 3)
C)
(4y + 3)(5y + 3)
D)
prime
6
Determine whether the equation is a quadratic equation.
29)
4x +x2= 5
29)
A)
Yes
B)
No
Solve.
30)
(x – 8)(x + 7) = 0
30)
A)
8, 7
B)
8, -8, 7, -7
C)
8, -7
D)
–8, 7
Factor the GCF from each term in the expression.
31)
11x5– 5x7
31)
A)
x5(11 – 5x2)
B)
11(x5– 55)
C)
x5(1 – 5x2)
D)
11x5(1 – 5
11 x2)
Factor the difference of two squares.
32)
x2–4
32)
A)
(x +2)(x –2)
B)
(x –2)(x –2)
C)
(x +2)(x +2)
D)
prime
Factor the polynomial. If the polynomial is prime, so state.
33)
2x –24 +x2
33)
A)
(x – 6)(x + 4)
B)
(x + 6)(x – 4)
C)
(x – 6)(x + 1)
D)
prime
7
Factor by grouping.
34)
24a3– 30a2b + 20ab2– 25b3
34)
A)
(6a2+ 5b2)(4a – 5b)
B)
(24a2+ 5b2)(a – 5b)
C)
(6a2+ 5b)(4a – 5b)
D)
(6a2– 5b2)(4a + 5b)
35)
x3+3x +x2+3
35)
A)
(x2+ 1)(3x + 1)
B)
(x2+3)(x + 1)
C)
(x2+ 1)(x +3)
D)
(3x + 1)(x + 1)
Factor completely. If the polynomial is prime, so state.
36)
8x2– 28x – 16
36)
A)
4(2x – 1)(x + 4)
B)
4(2x + 1)(x – 4)
C)
(8x – 4)(x + 4)
D)
prime
Factor completely.
37)
16k3m + 72k2m2+ 81km3
37)
A)
km(4k – 9m)2
B)
km(4k + 9m)(4k – 9m)
C)
km(4k + 9m)2
D)
prime
Factor completely. If the polynomial is prime, so state.
38)
9z2– 6z – 8
38)
A)
(3z – 2)(3z + 4)
B)
(3z + 2)(3z – 4)
C)
(9z + 2)(z – 4)
D)
prime
Factor by grouping.
39)
2x – 12 + xy – 6y
39)
A)
(y – 6)(x + 2)
B)
(x – 6)(2+ y)
C)
(y – 6)(2x + y)
D)
(x – 6y)(2+ y)
Solve.
40)
–x2– 6x + 72 = 0
40)
A)
–12, 1
B)
12, -6
C)
12, 6
D)
–12, 6
D
41)
x(x + 15) = 0
41)
A)
–1, -15
B)
0, 15
C)
1, -15
D)
0, -15
D
Factor completely.
42)
5t5– 5t4– 100t3
42)
A)
(t – 4)(5t4+ 25)
B)
5t3(t – 4)(t + 5)
C)
(5t4+ 20)(t – 5)
D)
5t3(t + 4)(t – 5)
D
Factor the difference of two squares.
43)
98x2–8
43)
A)
2(7x –2)2
B)
4(7x +2)(7x –2)
C)
2(7x +2)(7x –2)
D)
2(7x +2)2
C
B
Factor by grouping.
44)
bw +w–b– 1
44)
A)
(w – 1)(b– 1)
B)
(w + 1)(b– 1)
C)
(w + 1)(b+ 1)
D)
(w – 1)(b+ 1)
45)
2y – 16 + xy – 8x
45)
A)
(x – 8)(2y + x)
B)
(y – 8x)(2+ x)
C)
(x – 8)(y + 2)
D)
(y – 8)(2+ x)
D
Factor completely. If the polynomial is prime, so state.
46)
3x2– x – 52
46)
A)
(3x + 13)(x – 4)
B)
(3x + 4)(x – 13)
C)
(3x – 13)(x + 4)
D)
(3x – 4)(x + 13)
C
Determine the greatest common factor for the group of terms.
47)
10x6y7, 10x8y6, 2x7y5
47)
A)
10x6y5
B)
5x8y7
C)
2x5y6
D)
2x6y5
D
Factor by grouping.
48)
18x2– 15xy – 12xy + 10y2
48)
A)
(3x – 2)(6x – 5)
B)
(3x + 2y)(6x – 5y)
C)
(18x – 2y)(x – 5y)
D)
(3x – 2y)(6x – 5y)
D
10
D
Determine whether the quadratic equation is in standard form.
49)
2x +x2– 25 = 0
49)
A)
Yes
B)
No
Factor completely.
50)
x3+ 2x2– 3x
50)
A)
x(x2+ 2x – 3)
B)
x(x + 3)(x + 1)
C)
x(x + 3)(x – 1)
D)
x(x – 3)(x – 1)
Write the number as a product of prime numbers.
51)
105
51)
A)
3·5·7
B)
15 ·7
C)
32·7
D)
52·3
Factor completely. If the polynomial is prime, so state.
52)
4x3y3– 4x3y2– 80x3y
52)
A)
4x3y(y – 4)(y + 5)
B)
4x3y(y + 4)(y – 5)
C)
x3(4y2+ 16y)(y – 5)
D)
prime
Factor by grouping.
53)
30dx –15dy –20fx +10fy
53)
A)
5(3d+ 2f)(2x + y)
B)
5(3d– 2f)(2x – y)
C)
5(3d– 2f)(2x + y)
D)
5(3d+ 2f)(2x – y)
11
Write the number as a product of prime numbers.
54)
12
54)
A)
4·3
B)
4·2
C)
32
D)
22·3
Factor completely.
55)
z2–16
55)
A)
(x +4)2
B)
(z +4)(z –4)
C)
(x –4)2
D)
prime
Solve the problem.
56)
The length of a rectangular storage room is 4 feet longer than its width. If the area of the room is 77
square feet, find its dimensions.
56)
A)
w =8 ft, l =12 ft
B)
w =7 ft, l =11 ft
C)
w =6 ft, l =10 ft
D)
w =6 ft, l =12 ft
Factor completely. If the polynomial is prime, so state.
57)
6x2+ 7x – 3
57)
A)
(x – 1)(6x + 3)
B)
(3x – 1)(2x + 3)
C)
(2x – 1)(3x + 3)
D)
(3x + 1)(2x – 3)
Factor completely.
58)
xy – 3yz + 5x – 15z
58)
A)
(y – 3)(x + 5z)
B)
(y + 3)(x – 5z)
C)
(y + 5)(x – 3z)
D)
(y – 5)(x +3z)
12
Solve the problem.
59)
The formula N =4x2+3x +2 represents the number of households N, in thousands, in a certain city
that had a computer x years after 1990. According to the formula, in what year were there 164
thousand households with computers in this city?
59)
A)
1997
B)
1996
C)
1994
D)
1995
Factor completely.
60)
x2+5xy – 36y2
60)
A)
(x + 4y)(x + 9y)
B)
(x – 4y)(x + 9y)
C)
(x + 4y)(x + y)
D)
prime
Factor the difference of two squares.
61)
81a3– 49a
61)
A)
a(9a + 7)(9a – 7)
B)
(9a2+ 7)(9a – 7)
C)
a(9a – 7)2
D)
a(81a + 1)(a – 49)
Factor the sum or difference of two cubes.
62)
x3+ 8
62)
A)
(x + 2)(x2+ 4)
B)
(x + 2)(x2– 2x + 4)
C)
(x – 2)(x2+ 2x + 4)
D)
prime
63)
27 +z3
63)
A)
(z – 27)(z2– 1)
B)
(z + 3)(z2– 3z + 9)
C)
(z – 3)(z2+ 3z + 9)
D)
(z + 3)(z2+ 9)
13
Factor completely.
64)
10x3–10
64)
A)
10(x + 1)(x2– x + 1)
B)
10(x3– 1)
C)
10(x – 1)(x2+ x + 1)
D)
prime
Factor completely. If the polynomial is prime, so state.
65)
35 +6x2– 31x
65)
A)
(2x +7)(-3x +5)
B)
(2x – 7)(3x – 5)
C)
(2x – 7)(3x +5)
D)
prime
Solve.
66)
36n2+ 72n = 0
66)
A)
–2
B)
–2, 72
C)
–2, 0
D)
0
Determine the greatest common factor for the group of terms.
67)
x2, x4, x5
67)
A)
x5
B)
x
C)
x11
D)
x2
Factor completely.
68)
25p4– 60p3+ 36p2
68)
A)
p2(5p – 6)(5p + 6)
B)
p2(5p – 6)2
C)
p2(25p+ 1)(p + 36)
D)
p2(5p + 6)2
14
Factor the GCF from each term in the expression.
69)
60x9y8+ 36x5y5– 60x2y3
69)
A)
12x2y3(5x7y5+ 3x3y2– 5)
B)
–12x2y3(-5x7y5+ 3x3y2+ 5)
C)
12(5x9y8+ 3x5y5– 5x2y3)
D)
12x2(5x7y8+ 3x3y5– 5y3)
Solve.
70)
x2= x +42
70)
A)
6, 7
B)
–6, -7
C)
–6, 7
D)
1, 42
Factor the polynomial. If the polynomial is prime, so state.
71)
x2+ 15x + 56
71)
A)
(x – 8)2
B)
(x – 8)(x + 7)
C)
(x + 8)(x + 7)
D)
prime
Factor completely. If the polynomial is prime, so state.
72)
2x3+11x2+15x
72)
A)
2x(x +3)(x +5)
B)
x(x +3)(2x +5)
C)
x(2x +3)(x +5)
D)
prime
Determine whether the equation is a quadratic equation.
73)
x +5= 0
73)
A)
Yes
B)
No
15
Solve.
74)
–x2= –x –12
74)
A)
1, 12
B)
–3, -4
C)
3, 4
D)
–3, 4
Factor completely.
75)
150x2y – 54y – 225x2+ 81
75)
A)
(150x2– 54)y +9(9 –25x2)
B)
(150y – 225)x2+9(–6y +9)
C)
(5y –9)(6x –3)(6x +3)
D)
(6y –9)(5x –3)(5x +3)
D
Solve the problem.
76)
Determine the value of the question mark (?).
9mi ?
12 mi
76)
A)
15 mi
B)
21 mi
C)
18 mi
D)
9mi
A
Factor completely. If the polynomial is prime, so state.
77)
8x2– 8x – 48
77)
A)
(8x + 16)(x – 3)
B)
8(x + 2)(x – 3)
C)
8(x – 2)(x + 3)
D)
prime
B
D
Determine the greatest common factor for the group of terms.
78)
(x +5)(x +6), (x +5)(x – 4)
78)
A)
(x +5)
B)
(x – 120)
C)
(x +5)(x +6)(x – 4)
D)
(x +6)(x – 4)
Factor completely.
79)
72a4b – 50b3
79)
A)
2b(6a + 5b)2
B)
2b(6a – 5b)2
C)
2b(6a2+ 5b)(6a2– 5b)
D)
(12a + 10b)(6ab – 5b2)
Factor the sum or difference of two cubes.
80)
64x3– 1
80)
A)
(4x – 1)(16x2+ 4x + 1)
B)
(4x + 1)(16x2– 4x + 1)
C)
(4x – 1)(16x2+ 1)
D)
prime
Solve.
81)
(x +3)(x + 1) =35
81)
A)
–4, 8
B)
-3, –1
C)
–8, 4
D)
1, 3
Factor the GCF from each term in the expression.
82)
x2(x –5) –(x –5)
82)
A)
(x3–5x2) –(x –5)
B)
(x –5)(x2– 1)
C)
(x –5)(x2+ 1)
D)
x2(x –5)
Factor the difference of two squares.
83)
8a4– 50b2
83)
A)
2(2a2+ 5b)(2a2– 5b)
B)
2(2a2+ 5b)2
C)
8a4– 50b2
D)
2(2a2– 5b)2
Determine the greatest common factor for the group of terms.
84)
35x, 21y, 14x3
84)
A)
7xy
B)
35x3y
C)
7
D)
14xy
C
Factor completely. If the polynomial is prime, so state.
85)
9z2– 6z – 8
85)
A)
(9z + 2)(z – 4)
B)
(3z – 2)(3z + 4)
C)
(3z + 2)(3z – 4)
D)
prime
C
Factor completely.
86)
125x2+100x +20
86)
A)
5(25x +4)2
B)
5(5x +2)2
C)
5(5x –2)2
D)
5(5x +2)(5x –2)
B
Factor completely. If the polynomial is prime, so state.
87)
4x2– 32x + 60
87)
A)
4(x – 15)(x + 1)
B)
4(x – 3)(x – 5)
C)
(x – 3)(4x – 20)
D)
prime
B
18
A
Solve.
88)
12x2+ 35x + 25 = 0
88)
A)
5
3, –5
4
B)
–5
12 , –1
5
C)
–5
3, –5
4
D)
5
3, 5
4
Determine the greatest common factor for the pair of numbers.
89)
147, 280
89)
A)
1
B)
7
C)
2
D)
14
90)
14, 40
90)
A)
8
B)
16
C)
14
D)
2
Determine the greatest common factor for the group of terms.
91)
14m5, 56m9, 196m6
91)
A)
14m5
B)
56m5
C)
784m4
D)
14m4
Factor completely. If the polynomial is prime, so state.
92)
64x +32x2+3x3
92)
A)
x(3x +8)(x +3)
B)
3x(x +8)(x +8)
C)
x(x +8)(3x +8)
D)
prime
19
Solve the problem.
93)
The side of a square equals the width of a given rectangle. The length of the rectangle is 4
centimeters greater than its width. The sum of the areas of the square and the rectangle is 160
square centimeters. Find the side of the square.
93)
A)
2 cm
B)
64 cm
C)
8 cm
D)
10 cm
Factor the polynomial. If the polynomial is prime, so state.
94)
27 –12x +x2
94)
A)
(x –3)(x –9)
B)
(x –3)(x +9)
C)
(x +3)(x +9)
D)
(x +3)(x –9)
A
Factor completely. If the polynomial is prime, so state.
95)
12x2y2+ 29xy2+ 15y2
95)
A)
y2(x + 5)(12x + 3)
B)
(4x + 5y)(3x + 3y)
C)
(3x + 5y)(4x + 3y)
D)
y2(3x + 5)(4x + 3)
D
Solve.
96)
(x + 4)2= 4
96)
A)
6, 2
B)
–4
C)
–6
D)
–6, –2
D
Factor completely. If the polynomial is prime, so state.
97)
36x3– 172x2+112x
97)
A)
4x(x +4)(9x +7)
B)
x(4x – 4)(9x – 7)
C)
4x(x – 4)(9x – 7)
D)
prime
C
20
C
Factor the GCF from each term in the expression.
98)
7x + 49
98)
A)
7(x + 49)
B)
7x + 7
C)
343x
D)
7(x + 7)
Factor by grouping.
99)
xy + 12 – 4y – 3x
99)
A)
(y – 3)(x – 4)
B)
-3y(x – 4)
C)
-3x(y – 4)
D)
(x – 3)(y – 4)
Determine the greatest common factor for the group of terms.
100)
2(a +2)2 and 6(a +2)4
100)
A)
6(a +2)2
B)
6(a +2)4
C)
12(a +2)4
D)
2(a +2)2
Solve the problem.
101)
If the sides of a square are increased by 2 meters, the area becomes 36 square meters. Find the
length of a side of the original square.
101)
A)
2 m
B)
6 m
C)
4 m
D)
8 m
Factor the polynomial. If the polynomial is prime, so state.
102)
x2– x – 72
102)
A)
(x + 1)(x – 72)
B)
(x + 9)(x – 8)
C)
(x + 8)(x – 9)
D)
prime
Solve the problem.
103)
Consider two numbers. One of the numbers is 17 more than the other. The sum of their squares is
169. Find the numbers.
103)
A)
10 and -7
B)
9 and -8
C)
12 and -5
D)
11 and -6
Solve.
104)
4x2– 20x + 24 = 0
104)
A)
4, 2, 3
B)
–2, -3
C)
2, 3
D)
0, 2, 3
Factor the polynomial. If the polynomial is prime, so state.
105)
48 +47x +x2
105)
A)
(x + 48)(x – 1)
B)
(x + 48)(x + 1)
C)
(x + 8)(x + 6)
D)
prime
Determine the greatest common factor for the group of terms.
106)
x6y7, x7y5, x8y6
106)
A)
xy
B)
x6y5
C)
x6y6
D)
x5y6
Solve the problem.
107)
a and b represent the legs of a right triangle and c represents the hypotenuse.
Determine the value of the question mark (?).
a =10, c =26, b = ?
107)
A)
24
B)
144
C)
16
D)
28
Factor completely. If the polynomial is prime, so state.
108)
10x2+ 21x + 9
108)
A)
(2x + 3)(5x + 3)
B)
(10x + 3)(x + 3)
C)
(2x – 3)(5x – 3)
D)
prime
Solve.
109)
x2+ 3x – 40 = 0
109)
A)
8, 5
B)
8, -5
C)
–8, 1
D)
–8, 5
Solve the problem.
110)
One leg of a right triangle is 21 inches longer than the other, and the hypotenuse is 24 inches longer
than the shorter leg. Find the lengths of the three sides of the triangle.
110)
A)
16 in., 37 in., 40 in.
B)
12 in., 33 in., 36 in.
C)
14 in., 35 in., 40 in.
D)
15 in., 36 in., 39 in.
Factor completely. If the polynomial is prime, so state.
111)
16y2+ 72y – 40
111)
A)
8(2y + 1)(y – 5)
B)
(16y – 8)(y + 5)
C)
8(2y – 1)(y + 5)
D)
prime
Factor the difference of two squares.
112)
x4–16
112)
A)
(x2+4)(x2+4)
B)
(x2+4)(x +2)(x –2)
C)
(x2–4)(x2–4)
D)
prime
Factor the GCF from each term in the expression.
113)
40x –20
113)
A)
20(2x – 1)
B)
20(2x)
C)
4(10x – 5)
D)
5(8x –4)
Determine whether the quadratic equation is in standard form.
114)
x2+ x –4= 0
114)
A)
Yes
B)
No
Factor the polynomial. If the polynomial is prime, so state.
115)
x2+ 5x – 66
115)
A)
(x – 11)(x + 1)
B)
(x – 11)(x + 6)
C)
(x + 11)(x – 6)
D)
prime
Solve the problem.
116)
The sum of a number and its square is 12. Find the number.
116)
A)
3 or 4
B)
-3 or -4
C)
3 or -4
D)
-3 or 4
Factor completely. If the polynomial is prime, so state.
117)
15x2+ 19x + 6
117)
A)
(3x + 2)(5x + 3)
B)
(15x + 2)(x + 3)
C)
(3x – 2)(5x – 3)
D)
prime
24
Factor the GCF from each term in the expression.
118)
48m7+ 112m4– 32m2
118)
A)
m2(48m5+ 112m2– 32)
B)
16m2(3m5+ 7m2– 2)
C)
–m2(-48m5+ 112m2+ 32)
D)
16(3m7+ 7m4– 2m2)
Solve.
119)
x(2x + 12) = 0
119)
A)
0, -6
B)
0, –1
6
C)
0, 6
D)
0, 1
6
Factor completely.
120)
2x2– 40x +2x3
120)
A)
(2x2+ 8x)(x – 5)
B)
(x – 4)(2x2+ 10)
C)
2x(x – 4)(x + 5)
D)
2x(x + 4)(x – 5)
Factor by grouping.
121)
x2+ax +2a +2x
121)
A)
x(x +a)
B)
(x +2)(x +a)
C)
x(x +a) +2
D)
x(x +2)
Factor the sum or difference of two cubes.
122)
64a3– 125b3
122)
A)
(4a – 5b)(16a2+ 20ab + 25b2)
B)
(4a + 5b2)(16a2– 20ab + 25b2)
C)
(4a – 5b)(16a2+ 25b2)
D)
(64a – 5b)(a2+ 20ab + 25b2)
Write the number as a product of prime numbers.
123)
249
123)
A)
3·81
B)
32·83
C)
3·83
D)
32
Factor the polynomial. If the polynomial is prime, so state.
124)
u2– 2uv – 35v2
124)
A)
(u + 5v)(u – 7v)
B)
(u – 5v)(u + v)
C)
(u – 5v)(u + 7v)
D)
prime
Factor completely. If the polynomial is prime, so state.
125)
5x2y + 10xy – 120y
125)
A)
5y(x – 4)(x – 6)
B)
5y(x – 4)(x +6)
C)
5y(x +4)(x – 6)
D)
5y(x +4)(x +6)
26
Answer Key
Testname: C5
Answer Key
Testname: C5
28
Answer Key
Testname: C5