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Math Problems
Algebra 2
Add, subtract, multiply, and divide polynomials
2
x
−
2
x
(
x
2
144
)
=
0
2 x-2 x\left(\frac{x^{2}}{144}\right)=0
2
x
−
2
x
(
144
x
2
)
=
0
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x
2
−
12
x
+
36
3
x
−
18
\frac{x^{2}-12 x+36}{3 x-18}
3
x
−
18
x
2
−
12
x
+
36
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2
2
2
)
1
0
2
−
16
÷
8
10^{2}-16 \div 8
1
0
2
−
16
÷
8
\newline
3
3
3
)
(
25
+
11
)
×
2
(25+11) \times 2
(
25
+
11
)
×
2
\newline
4
4
4
)
3
+
6
×
(
5
+
4
)
÷
3
−
7
3+6 \times(5+4) \div 3-7
3
+
6
×
(
5
+
4
)
÷
3
−
7
\newline
5
5
5
)
56
−
2
(
20
+
12
÷
4
×
3
−
2
×
2
)
+
10
56-2(20+12 \div 4 \times 3-2 \times 2)+10
56
−
2
(
20
+
12
÷
4
×
3
−
2
×
2
)
+
10
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Simplify
\newline
x
2
−
4
x
(
x
+
3
)
(
5
x
−
20
)
\frac{x^{2}-4x}{(x+3)(5x-20)}
(
x
+
3
)
(
5
x
−
20
)
x
2
−
4
x
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Simplify.
\newline
(
−
w
2
+
6
w
−
4
)
+
(
2
w
2
+
7
w
+
3
)
\left(-w^{2}+6 w-4\right)+\left(2 w^{2}+7 w+3\right)
(
−
w
2
+
6
w
−
4
)
+
(
2
w
2
+
7
w
+
3
)
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11
x
(
−
9
+
10
y
)
11x(-9+10y)
11
x
(
−
9
+
10
y
)
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4
x
2
−
x
−
3
(
−
2
)
4x^2 - x-3 (-2)
4
x
2
−
x
−
3
(
−
2
)
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3
w
4
−
300
3 w^{4}-300
3
w
4
−
300
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Which is equal to
1
7
3
\frac{1}{7^3}
7
3
1
?
\newline
Choices:
\newline
(A)
(
−
7
)
3
(-7)^3
(
−
7
)
3
\newline
(B)
−
7
3
-7^3
−
7
3
\newline
(C)
7
−
3
7^{-3}
7
−
3
\newline
(D)
−
1
7
−
3
-\frac{1}{7^{-3}}
−
7
−
3
1
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14
14
14
)
(
4
×
1
0
−
5
)
−
6
\left(4 \times 10^{-5}\right)^{-6}
(
4
×
1
0
−
5
)
−
6
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Solve for
x
x
x
.
\newline
2
x
2
+
6
=
−
7
x
2 x^{2}+6=-7 x
2
x
2
+
6
=
−
7
x
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Solve for
w
w
w
.
\newline
3
w
2
−
2
=
5
w
3 w^{2}-2=5 w
3
w
2
−
2
=
5
w
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a
(
4
a
+
3
)
a(4 a+3)
a
(
4
a
+
3
)
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2
n
−
1
)
3
=
1
+
3
n
−
6
4
\frac{2 n-1)}{3}=1+\frac{3 n-6}{4}
3
2
n
−
1
)
=
1
+
4
3
n
−
6
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4
x
2
+
12
x
3
+
2
x
4
(
−
x
+
x
\frac{4 x^{2}+12 x^{3}+2 x^{4}}{(-x+x}
(
−
x
+
x
4
x
2
+
12
x
3
+
2
x
4
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−
2
x
2
+
10
x
−
2
(
x
2
−
1
)
2
\frac{-2 x^{2}+10 x-2}{\left(x^{2}-1\right)^{2}}
(
x
2
−
1
)
2
−
2
x
2
+
10
x
−
2
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−
1
(
2
x
−
8
)
2
=
−
144
-1(2x-8)^2=-144
−
1
(
2
x
−
8
)
2
=
−
144
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z
+
1
z
−
2
=
z
+
8
z
−
4
\frac{z+1}{z-2}=\frac{z+8}{z-4}
z
−
2
z
+
1
=
z
−
4
z
+
8
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g
(
7
−
d
)
g(7-d)
g
(
7
−
d
)
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−
6.3
p
+
(
−
3.6
)
−
(
−
8.5
)
−
(
−
4.2
)
-6.3p + (-3.6) - (-8.5) - (-4.2)
−
6.3
p
+
(
−
3.6
)
−
(
−
8.5
)
−
(
−
4.2
)
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find the sum.
(
−
11
x
3
+
x
5
−
15
)
+
(
4
x
5
−
6
x
3
+
9
)
(-11x^3 + x^5 -15) + (4x^5 - 6x^3 + 9)
(
−
11
x
3
+
x
5
−
15
)
+
(
4
x
5
−
6
x
3
+
9
)
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Simplify:
\newline
(
−
2
+
3
20
)
−
(
9
+
12
20
)
(-2+3 \sqrt{20})-(9+12 \sqrt{20})
(
−
2
+
3
20
)
−
(
9
+
12
20
)
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(
12
+
6
−
5
×
3
)
×
(
2
×
2
+
1
−
7
+
2
)
(12+6-5\times3)\times(2\times2+1-7+2)
(
12
+
6
−
5
×
3
)
×
(
2
×
2
+
1
−
7
+
2
)
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3
3
3
.
2
b
−
1
+
b
=
2
\sqrt{2 b-1}+\sqrt{b}=2
2
b
−
1
+
b
=
2
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30
30
30
)
(
14
,
3
)
;
2
y
−
x
=
8
(14,3) ; 2 y-x=8
(
14
,
3
)
;
2
y
−
x
=
8
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9
x
2
+
6
x
+
1
9 x^{2}+6 x+1
9
x
2
+
6
x
+
1
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14
14
14
)
3
x
x
−
4
+
3
x
−
1
\frac{3 x}{x-4}+\frac{3}{x-1}
x
−
4
3
x
+
x
−
1
3
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8
x
2
−
10
x
+
3
8 x^{2}-10 x+3
8
x
2
−
10
x
+
3
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d)
2
u
−
1
3
+
3
u
−
1
5
=
2
\frac{2 u-1}{3}+\frac{3 u-1}{5}=2
3
2
u
−
1
+
5
3
u
−
1
=
2
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x
2
+
x
−
7
x
−
4
\frac{x^{2}+x-7}{x-4}
x
−
4
x
2
+
x
−
7
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2
1
7
−
1
4
7
+
5
7
2 \frac{1}{7}-1 \frac{4}{7}+\frac{5}{7}
2
7
1
−
1
7
4
+
7
5
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9
2
7
−
(
3
7
+
4
7
)
9\frac{2}{7} -\left(\frac{3}{7} +\frac{4}{7}\right)
9
7
2
−
(
7
3
+
7
4
)
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3
(
2
+
9
i
)
+
(
1
−
3
i
)
3(2+9i)+(1-3i)
3
(
2
+
9
i
)
+
(
1
−
3
i
)
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3
x
+
4
y
6
x
2
y
−
3
x
−
4
y
6
x
2
y
\frac{3 x+4 y}{6 x^{2} y}-\frac{3 x-4 y}{6 x^{2} y}
6
x
2
y
3
x
+
4
y
−
6
x
2
y
3
x
−
4
y
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2
m
2
+
11
m
−
6
m
2
−
36
\frac{2 m^{2}+11 m-6}{m^{2}-36}
m
2
−
36
2
m
2
+
11
m
−
6
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(
2
x
+
7
)
2
=
9
(2 x+7)^{2}=9
(
2
x
+
7
)
2
=
9
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2
(
4
x
−
3
)
−
8
=
4
+
2
x
2(4x-3)-8=4+2x
2
(
4
x
−
3
)
−
8
=
4
+
2
x
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Slope of
(
4
,
5
)
(4,5)
(
4
,
5
)
and
(
−
4
,
7
)
(-4,7)
(
−
4
,
7
)
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Add.
\newline
(
−
5
p
2
−
3
p
−
5
)
+
(
−
7
p
3
−
4
p
2
−
2
p
+
9
)
(-5p^2 - 3p - 5) + (-7p^3 - 4p^2 - 2p + 9)
(
−
5
p
2
−
3
p
−
5
)
+
(
−
7
p
3
−
4
p
2
−
2
p
+
9
)
\newline
______
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
5
w
2
+
24
w
+
21
)
÷
(
w
+
3
)
(5w^2 + 24w + 21) \div (w + 3)
(
5
w
2
+
24
w
+
21
)
÷
(
w
+
3
)
\newline
_____
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Add.
\newline
(
−
7
s
2
+
9
s
)
+
(
9
s
−
1
)
(-7s^2 + 9s) + (9s - 1)
(
−
7
s
2
+
9
s
)
+
(
9
s
−
1
)
\newline
______
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
19
w
2
+
143
w
−
76
)
÷
(
w
+
8
)
(19w^2 + 143w - 76) \div (w + 8)
(
19
w
2
+
143
w
−
76
)
÷
(
w
+
8
)
\newline
_____
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Subtract.
\newline
(
6
a
3
+
4
a
2
+
6
a
+
5
)
−
(
3
a
2
+
3
a
+
2
)
(6a^3 + 4a^2 + 6a + 5) - (3a^2 + 3a + 2)
(
6
a
3
+
4
a
2
+
6
a
+
5
)
−
(
3
a
2
+
3
a
+
2
)
\newline
______
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
−
5
f
2
+
50
f
)
÷
(
f
−
10
)
(-5f^2 + 50f) \div (f - 10)
(
−
5
f
2
+
50
f
)
÷
(
f
−
10
)
\newline
______
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
d
3
−
11
d
2
+
18
d
)
÷
(
d
−
9
)
(d^3 - 11d^2 + 18d) \div (d - 9)
(
d
3
−
11
d
2
+
18
d
)
÷
(
d
−
9
)
\newline
______
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
−
6
g
+
49
)
÷
(
g
−
10
)
(-6g + 49) \div (g - 10)
(
−
6
g
+
49
)
÷
(
g
−
10
)
\newline
______
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
−
8
d
2
+
89
d
−
84
)
÷
(
d
−
10
)
(-8d^2 + 89d - 84) \div (d - 10)
(
−
8
d
2
+
89
d
−
84
)
÷
(
d
−
10
)
\newline
______
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Subtract.
\newline
(
8
w
2
+
3
w
−
6
)
−
(
−
6
w
−
1
)
(8w^2 + 3w - 6) - (-6w - 1)
(
8
w
2
+
3
w
−
6
)
−
(
−
6
w
−
1
)
\newline
______
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(
6
6
6
)
g
(
y
)
=
4
y
−
3
3
−
2
y
g(y)=\frac{4 y-3}{3-2 y}
g
(
y
)
=
3
−
2
y
4
y
−
3
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(
c
−
6
)
(
c
−
5
)
(c-6)(c-5)
(
c
−
6
)
(
c
−
5
)
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