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Math Problems
Algebra 1
Factor quadratics with leading coefficient 1
Find factors of quadratic equation:
\newline
3
x
4
+
10
x
2
+
8
3x^{4}+10x^{2}+8
3
x
4
+
10
x
2
+
8
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Find the solutions of the following equation:
\newline
x
2
−
3
x
+
1
=
0
x^{2}-3 x+1=0
x
2
−
3
x
+
1
=
0
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Factor.
\newline
k
2
+
7
k
+
10
k^{2}+7 k+10
k
2
+
7
k
+
10
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Factor.
\newline
s
2
+
10
s
+
21
s^{2}+10 s+21
s
2
+
10
s
+
21
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Factor.
\newline
z
2
+
14
z
+
13
z^{2}+14z+13
z
2
+
14
z
+
13
\newline
□
\square
□
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Factor.
\newline
z
2
+
9
z
+
20
z^{2}+9 z+20
z
2
+
9
z
+
20
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Factor.
\newline
q
2
+
13
q
+
22
q^{2}+13 q+22
q
2
+
13
q
+
22
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Factor.
\newline
v
2
+
8
v
+
7
v^2 + 8v + 7
v
2
+
8
v
+
7
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Factor.
\newline
h
2
+
10
h
+
16
h^2 + 10h + 16
h
2
+
10
h
+
16
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Factor.
\newline
t
2
+
17
t
+
16
t^2 + 17t + 16
t
2
+
17
t
+
16
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Factor.
\newline
q
2
+
6
q
+
5
q^2 + 6q + 5
q
2
+
6
q
+
5
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Factor.
\newline
d
2
+
3
d
+
2
d^2 + 3d + 2
d
2
+
3
d
+
2
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How many real solutions does the equation have?
\newline
f
2
−
52
=
−
70
f^{2}-52=-70
f
2
−
52
=
−
70
\newline
(A) no real solution
\newline
(B) one real solution
\newline
(C) two real solutions
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Factor completely.
4
w
2
−
81
4w^2-81
4
w
2
−
81
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Factor.
\newline
q
2
+
3
q
+
2
q^2 + 3q + 2
q
2
+
3
q
+
2
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Factor.
\newline
p
2
+
6
p
+
8
p^2 + 6p + 8
p
2
+
6
p
+
8
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Factor.
\newline
u
2
+
7
u
+
10
u^2 + 7u + 10
u
2
+
7
u
+
10
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Factor.
\newline
n
2
+
7
n
+
10
n^2 + 7n + 10
n
2
+
7
n
+
10
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Factor.
\newline
j
2
+
24
j
+
23
j^2 + 24j + 23
j
2
+
24
j
+
23
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Factor.
\newline
k
2
+
6
k
+
8
k^2 + 6k + 8
k
2
+
6
k
+
8
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Factor.
\newline
h
2
+
8
h
+
7
h^2 + 8h + 7
h
2
+
8
h
+
7
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Factor.
\newline
u
2
+
13
u
+
22
u^2 + 13u + 22
u
2
+
13
u
+
22
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Factor.
\newline
d
2
+
12
d
+
11
d^2 + 12d + 11
d
2
+
12
d
+
11
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Factor.
\newline
t
2
+
14
t
+
13
t^2 + 14t + 13
t
2
+
14
t
+
13
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Factor.
\newline
g
2
+
6
g
+
8
g^2 + 6g + 8
g
2
+
6
g
+
8
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Factor.
\newline
x
2
+
20
x
+
19
x^2 + 20x + 19
x
2
+
20
x
+
19
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Factor.
\newline
u
2
+
20
u
+
19
u^2 + 20u + 19
u
2
+
20
u
+
19
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Factor.
\newline
u
2
+
14
u
+
13
u^2 + 14u + 13
u
2
+
14
u
+
13
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Factor.
\newline
h
2
+
5
h
+
4
h^2 + 5h + 4
h
2
+
5
h
+
4
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Factor.
\newline
q
2
+
14
q
+
13
q^2 + 14q + 13
q
2
+
14
q
+
13
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Factor.
\newline
w
2
+
24
w
+
23
w^2 + 24w + 23
w
2
+
24
w
+
23
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Factor.
\newline
d
2
+
10
d
+
9
d^2 + 10d + 9
d
2
+
10
d
+
9
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Factor.
\newline
h
2
+
12
h
+
11
h^2 + 12h + 11
h
2
+
12
h
+
11
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Factor.
\newline
z
2
+
6
z
+
5
z^2 + 6z + 5
z
2
+
6
z
+
5
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Factor.
\newline
q
2
+
4
q
+
3
q^2 + 4q + 3
q
2
+
4
q
+
3
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Factor.
\newline
t
2
+
10
t
+
21
t^2 + 10t + 21
t
2
+
10
t
+
21
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Factor.
\newline
h
2
+
12
h
+
20
h^2 + 12h + 20
h
2
+
12
h
+
20
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Factor.
\newline
q
2
+
3
q
+
2
q^2 + 3q + 2
q
2
+
3
q
+
2
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Factor.
\newline
j
2
+
13
j
+
22
j^2 + 13j + 22
j
2
+
13
j
+
22
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Factor.
\newline
y
2
+
10
y
+
21
y^2 + 10y + 21
y
2
+
10
y
+
21
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Factor.
\newline
y
2
+
9
y
+
14
y^2 + 9y + 14
y
2
+
9
y
+
14
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Factor.
\newline
m
2
+
5
m
+
4
m^2 + 5m + 4
m
2
+
5
m
+
4
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Factor.
\newline
f
2
+
10
f
+
9
f^2 + 10f + 9
f
2
+
10
f
+
9
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Factor.
\newline
n
2
+
5
n
+
6
n^2 + 5n + 6
n
2
+
5
n
+
6
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Factor.
\newline
h
2
+
18
h
+
17
h^2 + 18h + 17
h
2
+
18
h
+
17
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Factor.
\newline
z
2
+
5
z
+
4
z^2 + 5z + 4
z
2
+
5
z
+
4
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Factor.
\newline
y
2
+
6
y
+
5
y^2 + 6y + 5
y
2
+
6
y
+
5
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Factor.
\newline
p
2
+
5
p
+
6
p^2 + 5p + 6
p
2
+
5
p
+
6
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Factor.
\newline
n
2
+
24
n
+
23
n^2 + 24n + 23
n
2
+
24
n
+
23
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Factor.
\newline
k
2
+
8
k
+
12
k^2 + 8k + 12
k
2
+
8
k
+
12
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