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Standard X
Mathematics
Question
If
f
(
x
)
and
g
(
x
)
are two polynomials with integral coefficients which vanish at
x
=
1
2
, then what is the factor of HCF of
f
(
x
)
and
g
(
x
)
?
x
−
1
x
−
2
2
x
−
1
2
x
+
1
A
2
x
−
1
B
2
x
+
1
C
x
−
1
D
x
−
2
Open in App
Solution
Verified by Toppr
The correct option is
C
2
x
−
1
Given,
x
=
1
2
⇒
(
2
x
−
1
)
=
0
Therefore,
(
2
x
−
1
)
is satisfying both
f
(
x
)
and
g
(
x
)
, so
(
2
x
−
1
)
is the factor of H.C.F. of
f
(
x
)
and
g
(
x
)
.
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If
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Q2
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