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Math Problems
Algebra 2
Divide polynomials using long division
Simplify:
(
3167
−
450
)
−
78
(3167-450)-78
(
3167
−
450
)
−
78
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Add:
a
4
+
7
a
4
+
5
a
4
a^{4}+7a^{4}+5a^{4}
a
4
+
7
a
4
+
5
a
4
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Evaluate:
\newline
26
−
6
343
3
26-6\sqrt[3]{343}
26
−
6
3
343
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Divide.
\newline
(
m
2
+
2
m
)
÷
(
m
+
2
)
(m^2 + 2m) \div (m + 2)
(
m
2
+
2
m
)
÷
(
m
+
2
)
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Divide.
\newline
(
−
10
a
2
+
80
a
)
÷
(
a
−
8
)
(-10a^2 + 80a) \div (a - 8)
(
−
10
a
2
+
80
a
)
÷
(
a
−
8
)
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Divide.
\newline
(
10
y
+
20
)
÷
(
y
+
2
)
(10y + 20) \div (y + 2)
(
10
y
+
20
)
÷
(
y
+
2
)
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Divide.
\newline
(
2
c
2
+
18
c
)
÷
(
c
+
9
)
(2c^2 + 18c) \div (c + 9)
(
2
c
2
+
18
c
)
÷
(
c
+
9
)
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Divide.
\newline
(
−
r
−
10
)
÷
(
r
+
10
)
(-r - 10) \div (r + 10)
(
−
r
−
10
)
÷
(
r
+
10
)
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Divide.
\newline
(
−
8
a
+
16
)
÷
(
a
−
2
)
(-8a + 16) \div (a - 2)
(
−
8
a
+
16
)
÷
(
a
−
2
)
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Divide.
\newline
(
−
5
f
2
−
45
f
)
÷
(
f
+
9
)
(-5f^2 - 45f) \div (f + 9)
(
−
5
f
2
−
45
f
)
÷
(
f
+
9
)
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Divide.
\newline
(
−
6
t
+
54
)
÷
(
t
−
9
)
(-6t + 54) \div (t - 9)
(
−
6
t
+
54
)
÷
(
t
−
9
)
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Divide.
\newline
(
7
x
2
+
35
x
)
÷
(
x
+
5
)
(7x^2 + 35x) \div (x + 5)
(
7
x
2
+
35
x
)
÷
(
x
+
5
)
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Divide.
\newline
(
−
33
b
2
+
132
b
)
÷
(
b
−
4
)
(-33b^2 + 132b) \div (b - 4)
(
−
33
b
2
+
132
b
)
÷
(
b
−
4
)
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Divide.
\newline
(
−
8
x
2
+
48
x
)
÷
(
x
−
6
)
(-8x^2 + 48x) \div (x - 6)
(
−
8
x
2
+
48
x
)
÷
(
x
−
6
)
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Divide.
\newline
(
−
6
d
−
54
)
÷
(
d
+
9
)
(-6d - 54) \div (d + 9)
(
−
6
d
−
54
)
÷
(
d
+
9
)
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Divide.
\newline
(
3
x
2
−
24
x
)
÷
(
x
−
8
)
(3x^2 - 24x) \div (x - 8)
(
3
x
2
−
24
x
)
÷
(
x
−
8
)
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Divide.
\newline
(
7
s
−
49
)
÷
(
s
−
7
)
(7s - 49) \div (s - 7)
(
7
s
−
49
)
÷
(
s
−
7
)
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Divide.
\newline
(
4
g
+
36
)
÷
(
g
+
9
)
(4g + 36) \div (g + 9)
(
4
g
+
36
)
÷
(
g
+
9
)
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Divide.
\newline
(
6
t
2
−
54
t
)
÷
(
t
−
9
)
(6t^2 - 54t) \div (t - 9)
(
6
t
2
−
54
t
)
÷
(
t
−
9
)
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Divide.
\newline
(
−
13
k
2
+
52
k
)
÷
(
k
−
4
)
(-13k^2 + 52k) \div (k - 4)
(
−
13
k
2
+
52
k
)
÷
(
k
−
4
)
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Divide.
\newline
(
12
v
−
96
)
÷
(
v
−
8
)
(12v - 96) \div (v - 8)
(
12
v
−
96
)
÷
(
v
−
8
)
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Divide.
\newline
(
13
q
2
−
52
q
)
÷
(
q
−
4
)
(13q^2 - 52q) \div (q - 4)
(
13
q
2
−
52
q
)
÷
(
q
−
4
)
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Divide.
\newline
(
4
k
−
40
)
÷
(
k
−
10
)
(4k - 40) \div (k - 10)
(
4
k
−
40
)
÷
(
k
−
10
)
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(
−
5
(-5
(
−
5
) − (−
48
48
48
) ÷ ( −
16
16
16
) + (−
2
2
2
) ×
6
6
6
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Express in simplest form:
2
x
2
−
8
x
−
42
6
x
2
÷
x
2
−
9
x
2
−
3
x
\frac{2 x^{2}-8 x-42}{6 x^{2}} \div \frac{x^{2}-9}{x^{2}-3 x}
6
x
2
2
x
2
−
8
x
−
42
÷
x
2
−
3
x
x
2
−
9
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Simplify
\newline
(a)
t
−
4
5
t
÷
16
−
t
2
10
t
2
s
\frac{t-4}{5 t} \div \frac{16-t^{2}}{10 t^{2} s}
5
t
t
−
4
÷
10
t
2
s
16
−
t
2
,
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(i)
b
2
−
25
2
b
+
10
÷
(
b
−
5
)
2
5
b
2
\frac{b^{2}-25}{2 b+10} \div \frac{(b-5)^{2}}{5 b^{2}}
2
b
+
10
b
2
−
25
÷
5
b
2
(
b
−
5
)
2
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3
m
4
m
−
n
×
(
4
m
−
n
)
2
6
m
n
\frac{3 m}{4 m-n} \times \frac{(4 m-n)^{2}}{6 m n}
4
m
−
n
3
m
×
6
mn
(
4
m
−
n
)
2
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21
m
2
÷
7
m
21 m^{2} \div 7 m
21
m
2
÷
7
m
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(
2
x
3
+
4
x
2
+
3
x
+
1
)
÷
(
2
x
+
1
)
\left(2 x^{3}+4 x^{2}+3 x+1\right) \div(2 x+1)
(
2
x
3
+
4
x
2
+
3
x
+
1
)
÷
(
2
x
+
1
)
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5
m
3
−
35
m
2
−
3
m
+
21
5 m^{3}-35 m^{2}-3 m+21
5
m
3
−
35
m
2
−
3
m
+
21
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69
+
122
+
496
−
1
0
2
69+122+496-10^{2}
69
+
122
+
496
−
1
0
2
=
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(
2
3
0
+
2
4
0
+
2
5
0
)
−
2
÷
9
\left(23^{0}+24^{0}+25^{0}\right)^{-2} \div 9
(
2
3
0
+
2
4
0
+
2
5
0
)
−
2
÷
9
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(
x
3
+
x
2
+
3
)
÷
(
x
+
4
)
\left(x^{3}+x^{2}+3\right) \div(x+4)
(
x
3
+
x
2
+
3
)
÷
(
x
+
4
)
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Which of the following are rational numbers?
\newline
Multi-select Choices:
\newline
(A)
1
2
\frac{1}{2}
2
1
\newline
(B)
−
10
-10
−
10
\newline
(C)
1.777...
1.777...
1.777...
\newline
(D)
−
7
-7
−
7
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Divide:
(
x
4
+
8
x
3
−
10
x
2
−
48
x
−
17
)
÷
(
x
2
−
6
)
(x^{4}+8x^{3}-10x^{2}-48x-17)\div(x^{2}-6)
(
x
4
+
8
x
3
−
10
x
2
−
48
x
−
17
)
÷
(
x
2
−
6
)
Get tutor help
Simplify:
\newline
(
7
×
1
0
−
13
)
−
(
4.2
×
1
0
−
15
)
(7\times10^{-13})-(4.2 \times10^{-15})
(
7
×
1
0
−
13
)
−
(
4.2
×
1
0
−
15
)
.
\newline
Choose 1 answer:
\newline
6.958
×
1
0
−
15
6.958 \times10^{-15}
6.958
×
1
0
−
15
\newline
2.8
×
1
0
−
15
2.8 \times10^{-15}
2.8
×
1
0
−
15
\newline
6.58
×
1
0
−
13
6.58 \times10^{-13}
6.58
×
1
0
−
13
\newline
2.8
×
1
0
−
13
2.8 \times10^{-13}
2.8
×
1
0
−
13
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Using long division, perform the operation below.
\newline
(
a
6
−
64
b
6
)
÷
(
a
−
2
b
)
(a^{6}-64b^{6})\div(a-2b)
(
a
6
−
64
b
6
)
÷
(
a
−
2
b
)
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Divide:
\newline
5
6
÷
1
2
\frac{5}{6}\div\frac{1}{2}
6
5
÷
2
1
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x
2
−
3
x
−
40
x
2
+
8
x
−
20
÷
x
2
+
13
x
+
40
x
2
+
12
x
+
20
\frac{x^{2}-3 x-40}{x^{2}+8 x-20} \div \frac{x^{2}+13 x+40}{x^{2}+12 x+20}
x
2
+
8
x
−
20
x
2
−
3
x
−
40
÷
x
2
+
12
x
+
20
x
2
+
13
x
+
40
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Multiply.
\newline
x
2
(
7
x
−
2
)
x^{2}(7 x-2)
x
2
(
7
x
−
2
)
\newline
Answer:
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Simplify
x
2
+
6
x
+
8
8
x
÷
x
+
4
12
\frac{x^{2}+6x+8}{8x} \div \frac{x+4}{12}
8
x
x
2
+
6
x
+
8
÷
12
x
+
4
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Divide.
\newline
(
−
5
c
2
−
45
c
)
÷
(
c
+
9
)
(-5c^{2}-45c)\div(c+9)
(
−
5
c
2
−
45
c
)
÷
(
c
+
9
)
\newline
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Divide.
\newline
(
−
5
c
2
−
45
c
)
÷
(
c
+
9
)
(-5c^{2}-45c)\div(c+9)
(
−
5
c
2
−
45
c
)
÷
(
c
+
9
)
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Simplity
\newline
sec
2
x
−
1
sec
2
x
−
1
\frac{\sec^{2}x-1}{\sec^{2}x-1}
s
e
c
2
x
−
1
s
e
c
2
x
−
1
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Divide as indicated.
\newline
(
x
2
−
11
x
+
36
)
÷
(
x
−
5
)
(x^{2}-11x+36)\div(x-5)
(
x
2
−
11
x
+
36
)
÷
(
x
−
5
)
Get tutor help
