Factorise: 6x^2 - x - 1
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Step-by-step explanation:
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Answer:
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
=
6
⋅
−
1
=
−
6
and whose sum is
b
=
−
1
.
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6
x
2
+
2
x
−
3
x
−
1
Factor out the greatest common factor from each group.
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2
x
(
3
x
+
1
)
−
(
3
x
+
1
)
Factor the polynomial by factoring out the greatest common factor,
3
x
+
1
.
(
3
x
+
1
)
(
2
x
−
1
)
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