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Standard XII
Mathematics
Question
For what value of
a
the polynomial
2
x
4
+
a
x
3
+
4
x
2
+
2
x
+
1
is divisible by
1
−
2
x
?
a
=
−
23
a
=
−
25
a
=
−
22
a
=
−
24
A
a
=
−
24
B
a
=
−
22
C
a
=
−
25
D
a
=
−
23
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Solution
Verified by Toppr
If
(
1
−
2
x
)
is a factor of the polynomial
2
x
4
+
a
x
3
+
4
x
2
+
2
x
+
1
,
Then,
(
1
−
2
x
)
must be the zero of the polynomial.
Putting
x
=
1
2
in the polynomial we get,
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