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UPSC CDS Math Basic operation and Factorisation Questions
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© examsnet.com
Question : 25
Total: 77
if
(
x
+
3
)
is a factor of
x
3
+
3
x
2
+
4
x
+
k
then what is the value of k ?
[2018 CDS-I]
12
24
36
72
Validate
Solution:
Since
(
x
+
3
)
is factor of P(x)
=
x
3
+
3
x
2
+
4
x
+
k
∴
P
(
−
3
)
=
0
⇒
(
−
3
)
3
+
3
(
−
3
)
2
+
4
(
−
3
)
+
k
=
0
⇒
−
27
+
27
−
12
+
k
=
0
⇒
k
=
12
© examsnet.com
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