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CDS Model Paper 3 Mathematics
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© examsnet.com
Question : 25
Total: 100
When polynomial
f
(
x
)
=
4
x
3
−
12
x
2
+
14
x
−
3
is divided by
2
x
−
1
, the remainder is:
2
3
1
3
3
2
2
7
Validate
Solution:
Here,
2
x
−
1
=
0
⇒
x
=
1
2
By Remainder Theorem,
Remainder
=
f
(
1
2
)
=
[
4
×
(
1
2
)
3
−
12
(
1
2
)
2
+
14
(
1
2
)
−
3
]
=
(
1
2
−
3
+
7
−
3
)
=
3
2
© examsnet.com
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