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Math Problems
Algebra 2
Divide polynomials using long division
(
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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(
X
3
−
y
3
)
÷
(
x
−
y
)
(X^3-y^3)\div(x-y)
(
X
3
−
y
3
)
÷
(
x
−
y
)
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ext{-}
6
6
6
x ext{ extdiv }
3
3
3
x
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6
6
6
)
\newline
V
=
216
π
c
m
3
\mathrm{V}=216 \pi \mathrm{cm}^{3}
V
=
216
π
cm
3
\newline
V
=
1728
π
c
m
3
\mathrm{V}=1728 \pi \mathrm{cm}^{3}
V
=
1728
π
cm
3
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(
−
5
x
4
+
6
x
3
−
43
)
+
(
6
x
5
−
x
2
+
12
x
+
12
)
\left(-5 x^{4}+6 x^{3}-43\right)+\left(6 x^{5}-x^{2}+12 x+12\right)
(
−
5
x
4
+
6
x
3
−
43
)
+
(
6
x
5
−
x
2
+
12
x
+
12
)
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(
40
−
10
)
÷
(
10
−
5
)
(40-10)÷(10-5)
(
40
−
10
)
÷
(
10
−
5
)
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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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Question
6
6
6
: The mass
M
t
\mathbf{M}_{t}
M
t
of radioactive substance remaining after
y
\boldsymbol{y}
y
years given by
M
t
=
6000
×
4
0.05
t
\mathbf{M}_{t}=\mathbf{6 0 0 0} \times \mathbf{4}^{0.05 t}
M
t
=
6000
×
4
0.05
t
grams. Find the time taken for the mass to triple. (write your answer in nearest years).
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Divide.
\newline
(
x
3
−
x
2
+
x
−
1
)
÷
(
x
−
1
)
\left(x^{3}-x^{2}+x-1\right) \div(x-1)
(
x
3
−
x
2
+
x
−
1
)
÷
(
x
−
1
)
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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
)
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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
(
2
x
5
−
4
x
3
+
2
x
2
−
5
x
−
2
)
÷
(
x
2
−
1
)
(2x^{5}-4x^{3}+2x^{2}-5x-2)\div(x^{2}-1)
(
2
x
5
−
4
x
3
+
2
x
2
−
5
x
−
2
)
÷
(
x
2
−
1
)
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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
)
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