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UPSC CDS Math Basic operation and Factorisation Questions
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© examsnet.com
Question : 69
Total: 77
What is the remainder when
x
5
−
5
x
2
+
125
is divided by x + 5?
[2014 CDS-II]
0
125
-3125
3125
Validate
Solution:
Let
f
(
x
)
=
x
5
−
5
x
2
+
125
∴ Remainder when f(x) is dividedby
(
x
+
5
)
=
f
(
−
5
)
=
(
−
5
)
5
−
5
×
(
−
5
)
2
+
125
=
−
3125
−
125
+
125
=
−
3125
© examsnet.com
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