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UPSC CDS Math Basic operation and Factorisation Questions
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© examsnet.com
Question : 39
Total: 77
The product of the polynomials
(
x
+
2
)
,
(
x
−
2
)
,
(
x
3
−
2
x
2
+
4
x
−
8
)
and
(
x
3
+
2
x
2
+
4
x
+
8
)
is
[2017 CDS-II]
x
8
−
256
(
x
4
−
16
)
2
(
x
4
+
16
)
2
(
x
2
−
4
)
4
Validate
Solution:
x
3
−
2
x
2
+
4
x
−
8
=
x
2
(
x
−
2
)
+
4
(
x
−
2
)
=
(
x
−
2
)
(
x
2
+
4
)
x
3
+
2
x
2
+
4
x
+
8
=
x
2
(
x
+
2
)
+
4
(
x
+
2
)
=
(
x
+
2
)
(
x
2
+
4
)
∴
(
x
+
2
)
×
(
x
−
2
)
x
(
x
3
−
2
x
2
+
4
x
−
8
)
×
(
x
3
+
2
x
2
+
4
x
+
8
)
=
(
x
+
2
)
(
x
−
2
)
×
(
x
−
2
)
(
x
2
+
4
)
×
(
x
+
2
)
(
x
2
+
4
)
=
[
(
x
+
2
)
(
x
−
2
)
(
x
2
+
4
)
]
2
=
[
(
x
2
−
4
)
(
x
2
+
4
)
]
2
=
(
x
4
−
16
)
2
© examsnet.com
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