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Math Problems
Algebra 2
Factor polynomials
Simplify.
5
(
4
x
2
−
2
x
−
6
)
5(4x^2-2x-6)
5
(
4
x
2
−
2
x
−
6
)
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20
b
−
2
b
+
3
b
+
x
20 b-2 b+3 b+x
20
b
−
2
b
+
3
b
+
x
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x
2
−
9
x
+
12
x^{2}-9 x+12
x
2
−
9
x
+
12
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3
x
2
+
5
x
−
2
=
0
3x^2+5x-2=0
3
x
2
+
5
x
−
2
=
0
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What is the discriminant of the quadratic equation
−
7
x
2
−
5
x
+
2
=
0
-7 x^{2}-5 x+2=0
−
7
x
2
−
5
x
+
2
=
0
?
\newline
31
31
31
\newline
81
81
81
\newline
−
31
-31
−
31
\newline
−
81
-81
−
81
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What is the discriminant of the quadratic equation
3
x
2
−
7
x
+
3
=
0
3 x^{2}-7 x+3=0
3
x
2
−
7
x
+
3
=
0
?
\newline
−
85
-85
−
85
\newline
13
13
13
\newline
85
85
85
\newline
−
13
-13
−
13
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What is the discriminant of the quadratic equation
4
x
2
+
5
x
−
3
=
0
4 x^{2}+5 x-3=0
4
x
2
+
5
x
−
3
=
0
?
\newline
23
23
23
\newline
73
73
73
\newline
−
23
-23
−
23
\newline
−
73
-73
−
73
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What is the discriminant of the quadratic equation
−
x
2
−
x
+
6
=
0
-x^{2}-x+6=0
−
x
2
−
x
+
6
=
0
?
\newline
−
25
-25
−
25
\newline
25
25
25
\newline
23
23
23
\newline
−
23
-23
−
23
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What is the discriminant of the quadratic equation
3
x
2
−
6
x
−
1
=
0
3 x^{2}-6 x-1=0
3
x
2
−
6
x
−
1
=
0
?
\newline
−
48
-48
−
48
\newline
48
48
48
\newline
−
24
-24
−
24
\newline
24
24
24
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Factor completely:
\newline
(
3
x
−
10
)
(
4
x
−
7
)
+
(
3
x
−
10
)
(
4
x
+
9
)
(3 x-10)(4 x-7)+(3 x-10)(4 x+9)
(
3
x
−
10
)
(
4
x
−
7
)
+
(
3
x
−
10
)
(
4
x
+
9
)
\newline
Answer:
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Factor completely:
\newline
(
3
x
+
2
)
2
(
3
x
−
8
)
+
(
3
x
+
2
)
(
3
x
+
10
)
(3 x+2)^{2}(3 x-8)+(3 x+2)(3 x+10)
(
3
x
+
2
)
2
(
3
x
−
8
)
+
(
3
x
+
2
)
(
3
x
+
10
)
\newline
Answer:
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Factor completely:
\newline
1
−
d
6
1-d^{6}
1
−
d
6
\newline
Answer:
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Factor completely:
\newline
1
−
c
6
1-c^{6}
1
−
c
6
\newline
Answer:
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Factor completely:
\newline
64
w
9
−
s
9
64 w^{9}-s^{9}
64
w
9
−
s
9
\newline
Answer:
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Factor completely:
\newline
64
−
y
6
64-y^{6}
64
−
y
6
\newline
Answer:
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Factor completely:
\newline
w
6
−
1
w^{6}-1
w
6
−
1
\newline
Answer:
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Factor completely:
\newline
27
s
6
−
8
h
6
27 s^{6}-8 h^{6}
27
s
6
−
8
h
6
\newline
Answer:
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Factor completely:
\newline
b
9
−
1
b^{9}-1
b
9
−
1
\newline
Answer:
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Factor completely:
\newline
r
6
−
64
s
6
r^{6}-64 s^{6}
r
6
−
64
s
6
\newline
Answer:
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Factor completely:
\newline
1
−
w
6
1-w^{6}
1
−
w
6
\newline
Answer:
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Factor completely:
\newline
w
6
−
64
w^{6}-64
w
6
−
64
\newline
Answer:
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Factor completely:
\newline
d
9
−
a
9
d^{9}-a^{9}
d
9
−
a
9
\newline
Answer:
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Factor completely:
\newline
z
9
+
1
z^{9}+1
z
9
+
1
\newline
Answer:
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Factor completely:
\newline
r
9
−
z
9
r^{9}-z^{9}
r
9
−
z
9
\newline
Answer:
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Factor completely:
\newline
v
9
+
1
v^{9}+1
v
9
+
1
\newline
Answer:
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Factor completely:
\newline
w
6
−
z
6
w^{6}-z^{6}
w
6
−
z
6
\newline
Answer:
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Factor completely:
\newline
8
+
z
6
8+z^{6}
8
+
z
6
\newline
Answer:
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Factor completely:
\newline
64
−
v
6
64-v^{6}
64
−
v
6
\newline
Answer:
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Factor
g
3
+
27
g^{3}+27
g
3
+
27
completely.
\newline
Answer:
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Factor completely.
\newline
12
x
4
z
3
+
49
x
y
z
7
12 x^{4} z^{3}+49 x y z^{7}
12
x
4
z
3
+
49
x
y
z
7
\newline
Answer:
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Factor completely.
\newline
44
x
2
−
17
x
4
y
2
z
4
44 x^{2}-17 x^{4} y^{2} z^{4}
44
x
2
−
17
x
4
y
2
z
4
\newline
Answer:
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Factor completely.
\newline
−
24
z
−
28
x
3
y
4
-24 z-28 x^{3} y^{4}
−
24
z
−
28
x
3
y
4
\newline
Answer:
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Solve for
x
x
x
.
\newline
8
x
+
36
=
247
8x+36=247
8
x
+
36
=
247
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Simplify the expressions.
\newline
3
3
3
.
12
12
12
)
3
x
+
2
y
−
2
+
2
x
+
7
y
+
7
3 x+2 y-2+2 x+7 y+7
3
x
+
2
y
−
2
+
2
x
+
7
y
+
7
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4
=
15
−
e
x
−
8
4=15-e^{x-8}
4
=
15
−
e
x
−
8
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3
x
+
x
2
−
10
3 x+x^{2}-10
3
x
+
x
2
−
10
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2
y
−
8
x
2
+
24
x
=
0
2 y-8 x^{2}+24 x=0
2
y
−
8
x
2
+
24
x
=
0
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(
x
+
1
)
2
−
36
=
0
(x + 1)^2 - 36 = 0
(
x
+
1
)
2
−
36
=
0
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(a) Factorise
4
a
u
+
24
a
v
−
5
b
u
−
30
b
v
4 a u+24 a v-5 b u-30 b v
4
a
u
+
24
a
v
−
5
b
u
−
30
b
v
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b Factor
\newline
2
x
2
−
5
x
−
3
2 x^{2}-5 x-3
2
x
2
−
5
x
−
3
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Factor the polynomial by its greatest common monomial factor.
44
k
5
−
66
k
4
+
77
k
3
=
44k^5-66k^4+77k^3=
44
k
5
−
66
k
4
+
77
k
3
=
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Factor completely.
\newline
5
x
2
+
34
x
−
7
5 x^{2}+34 x-7
5
x
2
+
34
x
−
7
\newline
Answer:
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Factor completely.
\newline
2
x
2
−
21
x
+
49
2 x^{2}-21 x+49
2
x
2
−
21
x
+
49
\newline
Answer:
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Factor completely.
\newline
5
x
2
−
42
x
+
49
5 x^{2}-42 x+49
5
x
2
−
42
x
+
49
\newline
Answer:
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Factor completely:
\newline
9
x
2
−
8
x
−
x
3
9 x^{2}-8 x-x^{3}
9
x
2
−
8
x
−
x
3
\newline
Answer:
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Factor the trinomial:
\newline
3
x
2
+
28
x
+
49
3 x^{2}+28 x+49
3
x
2
+
28
x
+
49
\newline
Answer:
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Factor completely.
\newline
6
x
2
−
13
x
−
5
6 x^{2}-13 x-5
6
x
2
−
13
x
−
5
\newline
Answer:
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Factor completely.
\newline
3
x
2
−
5
x
−
8
3 x^{2}-5 x-8
3
x
2
−
5
x
−
8
\newline
Answer:
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Factor completely.
\newline
2
x
2
−
17
x
−
9
2 x^{2}-17 x-9
2
x
2
−
17
x
−
9
\newline
Answer:
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Factor completely.
\newline
2
x
2
+
5
x
−
7
2 x^{2}+5 x-7
2
x
2
+
5
x
−
7
\newline
Answer:
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