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Let’s check out your problem:
Find the
greatest common factor
.
\newline
6
b
,
3
b
2
6b, 3b^2
6
b
,
3
b
2
\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
6
b
,
3
b
2
6b, 3b^2
6
b
,
3
b
2
\newline
Write your answer as a constant times a product of single variables raised to exponents.
\newline
_
_
\_\_
__
Find Prime Factorization:
First, we need to find the prime factorization of each term.
\newline
6
b
=
2
×
3
×
b
6b = 2 \times 3 \times b
6
b
=
2
×
3
×
b
\newline
3
b
2
=
3
×
b
×
b
3b^2 = 3 \times b \times b
3
b
2
=
3
×
b
×
b
Identify Common Factors:
Next, we identify the common
factors
between the two expressions. The common factors are
3
3
3
and
b
b
b
.
Multiply Common Factors:
Now, we multiply the common factors to find the greatest common factor (
GCF
).
\newline
GCF
=
3
×
b
=
3
b
= 3 \times b = 3b
=
3
×
b
=
3
b
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 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
Get tutor help
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
______
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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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