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Byju's Answer
Standard VIII
Mathematics
Division of a Polynomial by a Polynomial
2x/1+x2+x4+1/...
Question
2
x
1
+
x
2
+
x
4
+
1
1
+
x
+
x
2
−
1
1
−
x
+
x
2
=
A
2
x
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B
x
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C
1
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D
0
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Solution
The correct option is
D
0
2
x
1
+
x
2
+
x
4
+
(
1
1
+
x
+
x
2
−
1
1
−
x
+
x
2
)
=
2
x
1
+
x
2
+
x
4
+
(
(
1
−
x
+
x
2
)
−
(
1
+
x
+
x
2
)
(
1
+
x
+
x
2
)
(
1
−
x
+
x
2
)
)
=
2
x
1
+
x
2
+
x
4
−
2
x
(
1
+
x
2
)
2
−
x
2
=
2
x
1
+
x
2
+
x
4
−
2
x
1
+
x
4
+
2
x
2
−
x
2
=
2
x
1
+
x
2
+
x
4
−
2
x
1
+
x
2
+
x
4
=
0
Suggest Corrections
0
Similar questions
Q.
Find the square root of
√
2
x
+
√
−
x
4
−
1
Q.
If
x
<
1
, then
1
1
+
x
+
2
x
1
+
x
2
+
4
x
3
1
+
x
4
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⋯
∞
=
Q.
Find the H.C.F. of
(
x
2
+
x
+
1
)
and
(
x
4
+
x
2
+
1
)
by using the division method.
Q.
If
x
<
1
, then
1
1
+
x
+
2
x
1
+
x
2
+
4
x
3
1
+
x
4
+
.
.
.
.
∞
is
Q.
Assertion :Derivative of
sin
−
1
(
2
x
1
+
x
2
)
w.r.t
cos
−
1
(
1
−
x
2
1
+
x
2
)
is
1
,
for
0
<
x
<
1
. Reason:
sin
−
1
(
2
x
1
+
x
2
)
=
cos
−
1
(
1
−
x
2
1
+
x
2
)
for
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x
≤
1
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