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Standard IX
Mathematics
Factor Theorem
Question
If
(
x
−
2
)
is a factor of
x
2
+
4
x
−
2
k
, then the value of k is
1
6
4
3
A
1
B
3
C
4
D
6
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Solution
Verified by Toppr
Given,
x
−
2
is a factor of
p
(
x
)
=
x
2
+
4
x
−
2
k
now,
(
x
−
2
)
=
0
⇒
x
=
2
∴
p
(
2
)
=
0
(by factor therom)
⇒
(
2
)
2
+
4
(
2
)
−
2
k
=
0
⇒
4
+
8
−
2
k
=
0
⇒
2
k
=
12
⇒
k
=
6
Option
D
is correct.
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