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Math Problems
Algebra 2
Factor polynomials
Factor completely.
16
x
2
−
49
y
2
=
16x^2 - 49y^2 =
16
x
2
−
49
y
2
=
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1
1
1
.
x
2
+
10
x
+
16
y
+
39
=
0
x^{2}+10 x+16 y+39=0
x
2
+
10
x
+
16
y
+
39
=
0
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8
8
8
y +
76
76
76
=
100
100
100
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0
0
0
.
1
1
1
m+
8
8
8
−
12
-12
−
12
n when m=
30
30
30
and n=\frac{
1
1
1
}{
4
4
4
}
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0
0
0
.
1
1
1
m+
8
8
8
−
12
-12
−
12
n when m=
30
30
30
and n=\frac{
1
1
1
}{
4
4
4
}
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file:///var/folders/
5
5
5
s/lhx
6
6
6
ygld
0
0
0
sd
8
8
8
slmxjdvkknph
0000
0000
0000
gn/T/TemporaryItems/NSIRD_screencaptureui_1
1
1
1
PWtc/Screenshot%
202024
202024
202024
−
06
-06
−
06
−
17
-17
−
17
%
20
20
20
at%
205
205
205
.
04
04
04
.
08
08
08
%E
2
2
2
%
80
80
80
%AFPM.png
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Factor
24
j
−
16
24j-16
24
j
−
16
to identify the equivalent expressions. Choose
2
2
2
answers:
\newline
A
8
(
3
j
−
2
)
8(3j-2)
8
(
3
j
−
2
)
\newline
B
6
(
4
j
−
2
j
)
6(4j-2j)
6
(
4
j
−
2
j
)
\newline
c.
4
(
6
j
−
4
)
4(6j-4)
4
(
6
j
−
4
)
\newline
D
2
(
12
−
8
)
2(12-8)
2
(
12
−
8
)
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x
2
+
3
x
−
3
=
0
x^2+3x-3=0
x
2
+
3
x
−
3
=
0
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Write the Factored Form:
y
2
+
2
y
−
15
=
0
y^{2}+2y-15=0
y
2
+
2
y
−
15
=
0
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y
2
+
2
y
−
15
=
0
y^{2}+2y-15=0
y
2
+
2
y
−
15
=
0
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Evaluate the expression:
9
−
1
+
9
+
3
4
9 - 1 +9 + 3^4
9
−
1
+
9
+
3
4
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q
3
+
2
q
−
p
3
−
2
p
q^{3}+2q-p^{3}-2p
q
3
+
2
q
−
p
3
−
2
p
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Solve:
lim
x
→
−
1
(
x
4
+
2
x
3
+
x
2
x
+
1
)
=
\lim_{x \rightarrow -1}\left(\frac{x^{4}+2x^{3}+x^{2}}{x+1}\right)=
x
→
−
1
lim
(
x
+
1
x
4
+
2
x
3
+
x
2
)
=
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Find all the factor pairs for
50
50
50
and complete the equations.
\newline
50
=
1
×
_
_
_
50 = 1 \times \_\_\_
50
=
1
×
___
\newline
50
=
2
×
_
_
_
50 = 2 \times \_\_\_
50
=
2
×
___
\newline
50
=
_
_
_
×
10
50 = \_\_\_ \times 10
50
=
___
×
10
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Solve for
x
x
x
\newline
5
3
x
−
3
=
125
5^{3 x-3}=125
5
3
x
−
3
=
125
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q
z
9
+
r
qz^9+r
q
z
9
+
r
is a factor of
38
z
18
+
b
z
9
+
50
38z^{18} + bz^9 + 50
38
z
18
+
b
z
9
+
50
. What is the highest possible value of
b
b
b
?
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What is the greatest common factor of
30
b
2
,
80
b
2
30 b^{2}, 80 b^{2}
30
b
2
,
80
b
2
, and
20
b
3
20 b^{3}
20
b
3
?
\newline
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Simplify
2
a
+
3
b
+
a
+
7
2 a+3 b+a+7
2
a
+
3
b
+
a
+
7
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Simplify
2
x
+
5
y
+
7
x
2 x+5 y+7 x
2
x
+
5
y
+
7
x
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Solve.
\newline
6
x
+
9
=
3
+
8
x
−
8
6 x+9=3+8 x-8
6
x
+
9
=
3
+
8
x
−
8
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Solve for
x
x
x
:
3
x
+
16
x
=
228
3x+16x = 228
3
x
+
16
x
=
228
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Which of the following equations has no solution?
\newline
x
+
3
x
+
6
=
6
+
4
x
x+3x+6=6+4x
x
+
3
x
+
6
=
6
+
4
x
\newline
3
x
−
2
=
2
−
3
x
3x-2=2-3x
3
x
−
2
=
2
−
3
x
\newline
2
x
+
7
x
−
5
=
9
x
+
5
2x+7x-5=9x+5
2
x
+
7
x
−
5
=
9
x
+
5
\newline
4
x
−
5
x
+
3
=
−
5
x
+
4
x
−
3
4x-5x+3=-5x+4x-3
4
x
−
5
x
+
3
=
−
5
x
+
4
x
−
3
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9
x
4
y
5
3
x
8
y
3
\frac{9x^4y^5}{3x^8y^3}
3
x
8
y
3
9
x
4
y
5
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2
x
5
y
3
x
3
y
2
\frac{2x^5y^3}{x^3y^2}
x
3
y
2
2
x
5
y
3
=
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Write the Factored Form of the given expression:
2
s
2
−
3
s
−
2
=
0
2s^{2}-3s-2=0
2
s
2
−
3
s
−
2
=
0
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Solve for
x
x
x
\newline
x
2
−
6
x
+
y
2
+
2
y
−
15
=
0
x^{2}-6x+y^{2}+2y-15=0
x
2
−
6
x
+
y
2
+
2
y
−
15
=
0
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Factor
k
2
+
9
k
+
18
k^{2}+9 k+18
k
2
+
9
k
+
18
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Factorize the expression:
x
2
+
2
x
=
−
5
x^{2}+2x=-5
x
2
+
2
x
=
−
5
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Solve for
v
v
v
.
\newline
v
2
+
5
v
+
6
=
0
v^2+5v+6=0
v
2
+
5
v
+
6
=
0
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Factor.
\newline
g
2
−
8
g
+
15
g^{2}-8 g+15
g
2
−
8
g
+
15
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Factor.
\newline
y
2
+
6
y
−
7
y^{2}+6 y-7
y
2
+
6
y
−
7
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Simplifying the Expression:
−
7
a
+
33
-7a + 33
−
7
a
+
33
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Simplify:
9
x
+
36
9x + 36
9
x
+
36
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Factor
48
−
8
x
48-8x
48
−
8
x
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
(A)
3
(
16
−
8
x
)
3(16-8x)
3
(
16
−
8
x
)
\newline
(B)
2
(
24
−
4
x
)
2(24-4x)
2
(
24
−
4
x
)
\newline
(C)
8
(
6
−
x
)
8(6-x)
8
(
6
−
x
)
\newline
(D)
4
(
12
−
2
x
)
4(12-2x)
4
(
12
−
2
x
)
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Factor as the product of two binomials.
\newline
x
2
+
3
x
+
2
=
x^{2}+3x+2=
x
2
+
3
x
+
2
=
□
\square
□
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Find the quadratic polynomial that completes the factorization.
\newline
p
3
−
64
=
(
p
−
4
)
(
_
_
_
_
_
)
p^3 - 64 = (p - 4)(\_\_\_\_\_)
p
3
−
64
=
(
p
−
4
)
(
_____
)
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Find the binomial that completes the factorization.
\newline
u
3
−
v
3
=
(
‾
)
(
u
2
+
u
v
+
v
2
)
u^3 - v^3 = (\underline{\hspace{3cm}})(u^2 + uv + v^2)
u
3
−
v
3
=
(
)
(
u
2
+
uv
+
v
2
)
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Factor.
\newline
s
2
+
2
s
−
3
s^2 + 2s - 3
s
2
+
2
s
−
3
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Factor.
\newline
u
2
−
3
u
+
2
u^2 - 3u + 2
u
2
−
3
u
+
2
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Factor.
\newline
z
2
−
10
z
+
9
z^2 - 10z + 9
z
2
−
10
z
+
9
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Factor.
\newline
u
2
−
24
u
−
25
u^2 - 24u - 25
u
2
−
24
u
−
25
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Factor.
\newline
m
2
−
6
m
−
7
m^2 - 6m - 7
m
2
−
6
m
−
7
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Factor.
\newline
p
2
−
22
p
−
23
p^2 - 22p - 23
p
2
−
22
p
−
23
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Solve for
x
x
x
:
\newline
46
+
2
x
=
0
46+2x=0
46
+
2
x
=
0
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Integrate
e
−
x
2
e^{-x^2}
e
−
x
2
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x
2
−
4
x
−
12
=
0
x^{2}-4 x-12=0
x
2
−
4
x
−
12
=
0
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How to factor
4
(
k
12
+
5
k
−
24
)
4(k^{12}+5k-24)
4
(
k
12
+
5
k
−
24
)
?
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Find the value of
a
a
a
.
\newline
(
−
1
−
5
n
+
a
n
2
)
−
(
7
n
−
4
n
2
+
9
)
=
12
n
2
−
12
n
−
10
\qquad(-1-5n+an^2)-(7n-4n^2+9)=12n^2-12n-10
(
−
1
−
5
n
+
a
n
2
)
−
(
7
n
−
4
n
2
+
9
)
=
12
n
2
−
12
n
−
10
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3
a
2
x
−
12
x
−
5
a
2
y
+
20
y
3a^2x - 12x - 5a^2y + 20y
3
a
2
x
−
12
x
−
5
a
2
y
+
20
y
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Solve for
x
x
x
.
\newline
15
x
+
21
=
7
+
10
x
−
26
15x+21=7+10x-26
15
x
+
21
=
7
+
10
x
−
26
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1
2
3
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