Factorise 3x^2+7x+3
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Heya !!
glad help you,
it helps you,
thank you☻
@vaibhav246
glad help you,
it helps you,
thank you☻
@vaibhav246
Answered by
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Algebra Examples
Popular Problems Algebra Factor 3x^2-7x+2
3
x
2
−
7
x
+
2
Factor by grouping.
Tap for fewer steps...
For a polynomial of the form
a
x
2
+
b
x
+
c
, rewrite the middle term as a sum of two terms whose product is
a
⋅
c
=
3
⋅
2
=
6
and whose sum is
b
=
−
7
.
Tap for fewer steps...
Factor
−
7
out of
−
7
x
.
3
x
2
−
7
(
x
)
+
2
Rewrite
−
7
as
−
6
plus
−
1
3
x
2
+
(
−
6
−
1
)
x
+
2
Apply the distributive property.
3
x
2
+
(
−
6
x
−
1
x
)
+
2
Remove parentheses.
3
x
2
−
6
x
−
1
x
+
2
Factor out the greatest common factor from each group.
Tap for fewer steps...
Group the first two terms and the last two terms.
(
3
x
2
−
6
x
)
+
(
−
1
x
+
2
)
Factor out the greatest common factor (GCF) from each group.
3
x
(
x
−
2
)
−
1
(
x
−
25
)
Factor the polynomial by factoring out the greatest common factor,
x
−
2
.
(
x
−
2
)
)
Algebra Examples
Popular Problems Algebra Factor 3x^2-7x+2
3
x
2
−
7
x
+
2
Factor by grouping.
Tap for fewer steps...
For a polynomial of the form
a
x
2
+
b
x
+
c
, rewrite the middle term as a sum of two terms whose product is
a
⋅
c
=
3
⋅
2
=
6
and whose sum is
b
=
−
7
.
Tap for fewer steps...
Factor
−
7
out of
−
7
x
.
3
x
2
−
7
(
x
)
+
2
Rewrite
−
7
as
−
6
plus
−
1
3
x
2
+
(
−
6
−
1
)
x
+
2
Apply the distributive property.
3
x
2
+
(
−
6
x
−
1
x
)
+
2
Remove parentheses.
3
x
2
−
6
x
−
1
x
+
2
Factor out the greatest common factor from each group.
Tap for fewer steps...
Group the first two terms and the last two terms.
(
3
x
2
−
6
x
)
+
(
−
1
x
+
2
)
Factor out the greatest common factor (GCF) from each group.
3
x
(
x
−
2
)
−
1
(
x
−
25
)
Factor the polynomial by factoring out the greatest common factor,
x
−
2
.
(
x
−
2
)
)
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