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UPSC CDS 1 2018 Math Paper
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© examsnet.com
Question : 16
Total: 100
The remainder when
3
x
3
+
k
x
2
+
5
x
−
6
is divided by (x + 1) is - 7. What is the value of k?
[2018 CDS-I]
-14
14
-7
7
Validate
Solution:
Let
P
(
x
)
=
3
x
2
+
k
2
+
5
x
−
6
Using the remainder theorem,
P
(
−
1
)
=
−
7
⇒
−
3
+
k
−
5
−
6
=
−
7
⇒
k
=
−
7
+
14
=
7
© examsnet.com
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