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Let’s check out your problem:
Factor out the
greatest common factor
. If the greatest common factor is
1
1
1
, just retype the polynomial.
\newline
6
k
3
−
8
k
2
6k^3 - 8k^2
6
k
3
−
8
k
2
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Math Problems
Algebra 1
Factor out a monomial
Full solution
Q.
Factor out the greatest common factor. If the greatest common factor is
1
1
1
, just retype the polynomial.
\newline
6
k
3
−
8
k
2
6k^3 - 8k^2
6
k
3
−
8
k
2
Divide by GCF:
Now we divide each term by the
GCF
to factor it out.
\newline
6
k
3
÷
2
k
2
=
3
k
6k^3 \div 2k^2 = 3k
6
k
3
÷
2
k
2
=
3
k
\newline
8
k
2
÷
2
k
2
=
4
8k^2 \div 2k^2 = 4
8
k
2
÷
2
k
2
=
4
\newline
So, when we factor out the GCF, we get:
\newline
6
k
3
−
8
k
2
=
2
k
2
(
3
k
−
4
)
6k^3 - 8k^2 = 2k^2(3k - 4)
6
k
3
−
8
k
2
=
2
k
2
(
3
k
−
4
)
More problems from Factor out a monomial
Question
Find the greatest common factor.
\newline
9
v
3
,
6
v
3
9v^3, 6v^3
9
v
3
,
6
v
3
\newline
\newline
Write your answer as a constant times a product of single variables raised to exponents.
\newline
‾
\underline{\hspace{1cm}}
Get tutor help
Posted 9 months ago
Question
Factor out the greatest common factor. If the greatest common factor is
1
1
1
, just retype the polynomial.
\newline
6
x
3
+
9
x
2
6x^3 + 9x^2
6
x
3
+
9
x
2
\newline
______
Get tutor help
Posted 9 months ago
Question
Factor.
\newline
k
2
+
9
k
+
18
k^2 + 9k + 18
k
2
+
9
k
+
18
\newline
______
Get tutor help
Posted 9 months ago
Question
Factor.
\newline
9
j
2
−
16
9j^2 - 16
9
j
2
−
16
\newline
______
Get tutor help
Posted 9 months ago
Question
Factor.
\newline
j
3
+
2
j
2
+
5
j
+
10
j^3 + 2j^2 + 5j + 10
j
3
+
2
j
2
+
5
j
+
10
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Posted 9 months ago
Question
Factor
x
4
+
6
x
2
+
9
x^4 + 6x^2 + 9
x
4
+
6
x
2
+
9
completely.
\newline
All factors in your answer should have integer coefficients.
\newline
______
Get tutor help
Posted 1 year ago
Question
Factor.
\newline
z
2
+
13
z
+
22
z^2 + 13z + 22
z
2
+
13
z
+
22
\newline
______
Get tutor help
Posted 1 year ago
Question
Simplify the expression:
\newline
5
x
+
9
x
−
4
x
−
2
x
5x + 9x - 4x - 2x
5
x
+
9
x
−
4
x
−
2
x
\newline
______
Get tutor help
Posted 1 year ago
Question
3
−
3
2
3 - 3^2
3
−
3
2
Get tutor help
Posted 1 year ago
Question
5
−
5
2
5 - 5^2
5
−
5
2
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Posted 1 year ago
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