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Let’s check out your problem:
Factor, if possible. Be sure to factor completely. Always factor out the
greatest common factor
first, if one exists.
\newline
36
x
2
−
60
x
+
25
36 x^{2}-60 x+25
36
x
2
−
60
x
+
25
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Math Problems
Algebra 1
Factor out a monomial
Full solution
Q.
Factor, if possible. Be sure to factor completely. Always factor out the greatest common factor first, if one exists.
\newline
36
x
2
−
60
x
+
25
36 x^{2}-60 x+25
36
x
2
−
60
x
+
25
Identify
GCF
of coefficients:
Identify the greatest common factor of the coefficients
36
36
36
,
−
60
-60
−
60
, and
25
25
25
.
Rewrite expression:
Since the GCF is
1
1
1
, rewrite the expression without factoring out anything.
Factor quadratic expression:
Factor the quadratic expression using the middle term splitting or any other suitable method.
Rewrite middle term:
Rewrite the middle term using the numbers found and factor by grouping.
Factor out common binomial:
Factor out the common binomial factor.
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}}
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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
______
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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
______
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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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