Factrois of
2x² - 11x +5
Answers
Answered by
3
Answer:
=(x-5)(2x-1)
Step-by-step explanation:
2x²-11x+5
=2x²-10x-1x+5
=2x(x-5)-1(x-5)
=(x-5)(2x-1)
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Answered by
4
The coefficients are
A
=
2
,
B
=
11
,
C
=
5
(ignoring any signs).
Since the sign on the constant term is
+
, look for a pair of factors of
A
C
=
10
, whose sum is
11
. The pair
1
,
10
works.
Then use that pair to split the middle term and factor by grouping:
2
x
2
+
11
x
+
5
=
2
x
2
+
x
+
10
x
+
5
=
(
2
x
2
+
x
)
+
(
10
x
+
5
)
=
x
(
2
x
+
1
)
+
5
(
2
x
+
1
)
=
(
x
+
5
)
(
2
x
+
1
)
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