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UPSC CDS Math Basic operation and Factorisation Questions
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© examsnet.com
Question : 4
Total: 77
For what value of k can the expression
x
3
+
k
x
2
−
7
x
+
6
be resolved into three linear factors ?
[2019 CDS-II]
0
1
2
3
Validate
Solution:
For
k
=
0
,
x
3
−
7
x
+
6
=
0
x
2
(
x
−
1
)
+
x
(
x
−
1
)
−
6
(
x
−
1
)
=
0
(
x
−
1
)
(
x
2
+
x
−
6
)
=
0
(
x
−
1
)
(
x
+
3
)
(
x
−
2
)
=
0
∴
x
=
1
,
2
,
and
−
3
Hence, for
k
=
0
,given expression can be resolved into three linear factors.
© examsnet.com
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