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Let’s check out your problem:
Factor.
\newline
z
2
−
3
z
−
4
z^2 - 3z - 4
z
2
−
3
z
−
4
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Math Problems
Algebra 2
Factor quadratics
Full solution
Q.
Factor.
\newline
z
2
−
3
z
−
4
z^2 - 3z - 4
z
2
−
3
z
−
4
Identify Correct Numbers:
The numbers that work are
−
4
-4
−
4
and
+
1
+1
+
1
because
−
4
×
1
=
−
4
-4 \times 1 = -4
−
4
×
1
=
−
4
and
−
4
+
1
=
−
3
-4 + 1 = -3
−
4
+
1
=
−
3
. Write the expression as
(
z
−
4
)
(
z
+
1
)
(z - 4)(z + 1)
(
z
−
4
)
(
z
+
1
)
.
Use FOIL Method:
Check the factoring by using the FOIL method (First, Outer, Inner, Last) to multiply the two binomials.
\newline
(
z
−
4
)
(
z
+
1
)
=
z
2
+
z
−
4
z
−
4
=
z
2
−
3
z
−
4
(z - 4)(z + 1) = z^2 + z - 4z - 4 = z^2 - 3z - 4
(
z
−
4
)
(
z
+
1
)
=
z
2
+
z
−
4
z
−
4
=
z
2
−
3
z
−
4
.
More problems from Factor quadratics
Question
Factor out the greatest common factor. If the greatest common factor is
1
1
1
, just retype the polynomial.
\newline
4
x
3
−
6
x
2
4x^3 - 6x^2
4
x
3
−
6
x
2
\newline
______
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Posted 9 months ago
Question
Factor
x
4
+
8
x
2
+
16
x^4 + 8x^2 + 16
x
4
+
8
x
2
+
16
completely.
\newline
All factors in your answer should have integer coefficients.
\newline
______
Get tutor help
Posted 9 months ago
Question
Find the binomial that completes the factorization.
\newline
t
3
+
u
3
=
(
‾
)
(
t
2
−
t
u
+
u
2
)
t^3 + u^3 = (\underline{\hspace{1cm}}) (t^2 - tu + u^2)
t
3
+
u
3
=
(
)
(
t
2
−
t
u
+
u
2
)
Get tutor help
Posted 9 months ago
Question
Factor.
\newline
g
2
−
11
g
+
18
g^2 - 11g + 18
g
2
−
11
g
+
18
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Posted 9 months ago
Question
Factor.
\newline
2
y
3
−
y
2
+
16
y
−
8
2y^3 - y^2 + 16y - 8
2
y
3
−
y
2
+
16
y
−
8
\newline
______
\newline
Get tutor help
Posted 9 months ago
Question
Factor.
\newline
2
x
8
+
7
x
2
2x^8 + 7x^2
2
x
8
+
7
x
2
\newline
______
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Posted 10 months ago
Question
Factor.
\newline
9
y
12
+
4
y
5
−
y
2
9y^{12} + 4y^5 - y^2
9
y
12
+
4
y
5
−
y
2
\newline
______
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Posted 10 months ago
Question
Factor.
\newline
6
a
4
+
3
a
3
−
a
+
2
6a^4 + 3a^3 - a + 2
6
a
4
+
3
a
3
−
a
+
2
\newline
_____
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Posted 10 months ago
Question
Factor.
\newline
4
c
7
−
2
c
5
+
c
2
−
5
4c^7 - 2c^5 + c^2 - 5
4
c
7
−
2
c
5
+
c
2
−
5
\newline
_____
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Posted 10 months ago
Question
Factor.
\newline
7
m
9
+
2
m
6
−
m
3
+
4
m
−
10
7m^9 + 2m^6 - m^3 + 4m - 10
7
m
9
+
2
m
6
−
m
3
+
4
m
−
10
\newline
_____
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Posted 10 months ago
Related topics
Algebra - Order of Operations
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Common Multiple
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