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Let’s check out your problem:
Find the
greatest common factor
.
\newline
2
f
,
f
2
2f, f^2
2
f
,
f
2
\newline
\newline
Write your answer as a constant times a product of single variables raised to exponents.
\newline
______
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Math Problems
Algebra 1
GCF of monomials
Full solution
Q.
Find the greatest common factor.
\newline
2
f
,
f
2
2f, f^2
2
f
,
f
2
\newline
\newline
Write your answer as a constant times a product of single variables raised to exponents.
\newline
______
Find Factorization of
2
f
2f
2
f
:
First, we need to find the complete factorization of
2
f
2f
2
f
.
2
f
=
2
×
f
2f = 2 \times f
2
f
=
2
×
f
Find Factorization of
f
2
f^2
f
2
:
Now, let's find the complete factorization of
f
2
f^2
f
2
.
f
2
=
f
×
f
f^2 = f \times f
f
2
=
f
×
f
Identify Common Factors:
We have:
\newline
2
f
=
2
×
f
2f = 2 \times f
2
f
=
2
×
f
\newline
f
2
=
f
×
f
f^2 = f \times f
f
2
=
f
×
f
\newline
Now, we need to find the common
factors
of
2
f
2f
2
f
and
f
2
f^2
f
2
.
\newline
The common factor is
f
f
f
.
Determine Greatest Common Factor:
Since the only common factor is
f
f
f
, the greatest common factor (
GCF
) is
f
f
f
.
More problems from GCF of monomials
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 10 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 10 months ago
Question
Factor.
\newline
k
2
+
9
k
+
18
k^2 + 9k + 18
k
2
+
9
k
+
18
\newline
______
Get tutor help
Posted 10 months ago
Question
Factor.
\newline
9
j
2
−
16
9j^2 - 16
9
j
2
−
16
\newline
______
Get tutor help
Posted 10 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
Get tutor help
Posted 10 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
______
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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
Get tutor help
Posted 1 year ago
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