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UPSC 2017 CDS I Math Paper
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© examsnet.com
Question : 2
Total: 100
(x + 4) is a factor of which one of the following expressions ?
[2017 CDS-I]
x
2
−
7
x
+
44
x
2
+
7
x
−
44
x
2
−
7
x
−
44
x
2
+
7
x
+
44
Validate
Solution:
We have,
(
x
+
4
)
as a factor
∴
Put
x
=
−
4
in all the options.
(a)
(
−
4
)
2
−
7
(
−
4
)
+
44
=
16
+
28
+
44
=
88
≠
0
(b)
(
−
4
)
2
+
7
(
−
4
)
−
44
=
16
−
28
−
44
=
−
56
≠
0
(c)
(
−
4
)
2
−
7
(
−
4
)
−
44
=
16
+
28
−
44
=
0
(d)
(
−
4
)
2
+
7
(
−
4
)
+
44
=
16
−
28
+
44
=
32
≠
0
∴
(
x
+
4
)
is a factor of
x
2
−
7
x
−
44
.
© examsnet.com
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