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Math Problems
Algebra 2
Factor polynomials
Factor.
\newline
9
h
3
−
9
h
2
+
7
h
−
7
9h^3 - 9h^2 + 7h - 7
9
h
3
−
9
h
2
+
7
h
−
7
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Factor.
\newline
16
u
3
−
8
u
2
+
10
u
−
5
16u^3 - 8u^2 + 10u - 5
16
u
3
−
8
u
2
+
10
u
−
5
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Factor.
\newline
20
t
u
−
10
t
+
2
u
−
1
20tu - 10t + 2u - 1
20
t
u
−
10
t
+
2
u
−
1
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Factor.
\newline
10
s
3
−
5
s
2
+
8
s
−
4
10s^3 - 5s^2 + 8s - 4
10
s
3
−
5
s
2
+
8
s
−
4
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Factor.
\newline
25
v
2
−
9
25v^2 - 9
25
v
2
−
9
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Factor.
\newline
4
v
w
−
12
v
+
w
−
3
4vw - 12v + w - 3
4
v
w
−
12
v
+
w
−
3
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Factor.
\newline
25
p
2
−
16
25p^2 - 16
25
p
2
−
16
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Factor.
\newline
4
m
n
+
8
m
+
9
n
+
18
4mn + 8m + 9n + 18
4
mn
+
8
m
+
9
n
+
18
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Factor.
\newline
5
h
3
−
15
h
2
+
h
−
3
5h^3 - 15h^2 + h - 3
5
h
3
−
15
h
2
+
h
−
3
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Factor.
\newline
q
2
+
8
q
+
16
q^2 + 8q + 16
q
2
+
8
q
+
16
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Factor.
\newline
25
v
2
−
16
25v^2 - 16
25
v
2
−
16
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Factor.
\newline
18
f
3
+
9
f
2
+
10
f
+
5
18f^3 + 9f^2 + 10f + 5
18
f
3
+
9
f
2
+
10
f
+
5
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Factor.
\newline
m
3
−
3
m
2
+
5
m
−
15
m^3 - 3m^2 + 5m - 15
m
3
−
3
m
2
+
5
m
−
15
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Factor.
\newline
18
x
3
−
6
x
2
−
3
x
+
1
18x^3 - 6x^2 - 3x + 1
18
x
3
−
6
x
2
−
3
x
+
1
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Factor.
\newline
14
p
3
−
7
p
2
+
10
p
−
5
14p^3 - 7p^2 + 10p - 5
14
p
3
−
7
p
2
+
10
p
−
5
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Factor.
\newline
6
s
3
+
3
s
2
+
14
s
+
7
6s^3 + 3s^2 + 14s + 7
6
s
3
+
3
s
2
+
14
s
+
7
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Factor.
\newline
15
j
3
+
3
j
2
+
10
j
+
2
15j^3 + 3j^2 + 10j + 2
15
j
3
+
3
j
2
+
10
j
+
2
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Factor.
\newline
5
m
3
−
15
m
2
+
3
m
−
9
5m^3 - 15m^2 + 3m - 9
5
m
3
−
15
m
2
+
3
m
−
9
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Factor.
\newline
5
w
3
+
10
w
2
+
8
w
+
16
5w^3 + 10w^2 + 8w + 16
5
w
3
+
10
w
2
+
8
w
+
16
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Factor.
\newline
14
m
3
+
7
m
2
+
16
m
+
8
14m^3 + 7m^2 + 16m + 8
14
m
3
+
7
m
2
+
16
m
+
8
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Factor.
\newline
4
z
3
+
8
z
2
+
9
z
+
18
4z^3 + 8z^2 + 9z + 18
4
z
3
+
8
z
2
+
9
z
+
18
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Factor.
\newline
3
r
3
−
r
2
+
9
r
−
3
3r^3 - r^2 + 9r - 3
3
r
3
−
r
2
+
9
r
−
3
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Factor.
\newline
8
t
3
−
16
t
2
+
t
−
2
8t^3 - 16t^2 + t - 2
8
t
3
−
16
t
2
+
t
−
2
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Factor.
\newline
18
x
3
+
10
x
2
+
9
x
+
5
18x^3 + 10x^2 + 9x + 5
18
x
3
+
10
x
2
+
9
x
+
5
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Factor.
\newline
16
k
3
+
8
k
2
+
2
k
+
1
16k^3 + 8k^2 + 2k + 1
16
k
3
+
8
k
2
+
2
k
+
1
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Factor.
\newline
9
p
3
−
15
p
2
+
3
p
−
5
9p^3 - 15p^2 + 3p - 5
9
p
3
−
15
p
2
+
3
p
−
5
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Factor.
\newline
h
2
+
24
h
+
23
h^2 + 24h + 23
h
2
+
24
h
+
23
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Factor
72
y
+
108
z
72y+108z
72
y
+
108
z
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
(A)
9
(
7
y
+
12
z
)
9(7y+12z)
9
(
7
y
+
12
z
)
\newline
(B)
36
(
2
y
+
3
z
)
36(2y+3z)
36
(
2
y
+
3
z
)
\newline
(C)
6
(
18
y
+
12
z
)
6(18y+12z)
6
(
18
y
+
12
z
)
\newline
(D)
12
(
6
y
+
9
z
)
12(6y+9z)
12
(
6
y
+
9
z
)
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3
x
+
2
x
−
5
x
+
1
=
0
3x + 2x - 5x + 1 = 0
3
x
+
2
x
−
5
x
+
1
=
0
Find
x
x
x
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Factor
6
z
−
24
6 z-24
6
z
−
24
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Factor
14
t
−
35
u
14 t-35 u
14
t
−
35
u
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Factor
14
w
−
10
x
14 w-10 x
14
w
−
10
x
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Factor
27
x
+
63
27 x+63
27
x
+
63
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Factor
6
u
−
30
6 u-30
6
u
−
30
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1
1
1
.) Which equation has
1
1
1
-
i
i
i
as a solution?
\newline
(
1
1
1
)
x
2
+
2
x
−
2
=
0
x^{2}+2 x-2=0
x
2
+
2
x
−
2
=
0
\newline
(
3
3
3
)
x
2
−
2
x
−
2
=
0
x^{2}-2 x-2=0
x
2
−
2
x
−
2
=
0
\newline
(
2
2
2
)
x
2
+
2
x
+
2
=
0
x^{2}+2 x+2=0
x
2
+
2
x
+
2
=
0
\newline
(
4
4
4
)
x
2
−
2
x
+
2
=
0
x^{2}-2 x+2=0
x
2
−
2
x
+
2
=
0
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Solve the quadratic equation
z
2
+
4
z
−
5
=
0
z^{2}+4 z-5=0
z
2
+
4
z
−
5
=
0
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Solve the Quadratic equation :
2
x
2
+
3
x
−
2
=
0
2 x^{2}+3 x-2=0
2
x
2
+
3
x
−
2
=
0
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Solve the Quadratic equation :
x
2
−
9
−
10
=
0
x^{2}-9-10=0
x
2
−
9
−
10
=
0
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Solve the equation:
2
x
2
+
5
x
−
7
=
0
2x^{2}+5x-7=0
2
x
2
+
5
x
−
7
=
0
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4
r
+
2
r
+
6
−
5
r
4r+2r+6-5r
4
r
+
2
r
+
6
−
5
r
=
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8
r
+
7
−
6
r
−
5
8r+7-6r-5
8
r
+
7
−
6
r
−
5
=
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Factor completely,
\newline
20
u
3
−
10
u
2
+
18
u
=
9
20u^{3}-10u^{2}+18u=9
20
u
3
−
10
u
2
+
18
u
=
9
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Factorise.
x
2
+
8
x
−
20
=
0
x^{2}+8x-20=0
x
2
+
8
x
−
20
=
0
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Factor.
k
2
+
9
k
+
18
k^2 + 9k + 18
k
2
+
9
k
+
18
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35
r
−
21
<
−
35
r
+
19
35r-21 < -35r + 19
35
r
−
21
<
−
35
r
+
19
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Evaluate
2
27
−
3
2\sqrt{27}-\sqrt{3}
2
27
−
3
.
\newline
(A)
5
3
5\sqrt{3}
5
3
\newline
(B)
17
3
17\sqrt{3}
17
3
\newline
(C)
24
\sqrt{24}
24
\newline
(D)
2
24
2\sqrt{24}
2
24
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−
20
x
2
+
25
x
2
y
−
40
x
=
−
5
x
(
4
x
−
5
x
y
+
c
)
-20x^2+25x^2y-40x=-5x(4x-5xy+c)
−
20
x
2
+
25
x
2
y
−
40
x
=
−
5
x
(
4
x
−
5
x
y
+
c
)
Solve for
c
c
c
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Factor
−
7
v
2
−
25
v
−
12
-7v^{2}-25v-12
−
7
v
2
−
25
v
−
12
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x
2
+
2
x
+
1
=
0
x^2+2x+1=0
x
2
+
2
x
+
1
=
0
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Factor.
\newline
k
2
+
9
k
+
18
k^{2}+9k+18
k
2
+
9
k
+
18
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