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Byju's Answer
Standard IX
Mathematics
Polynomial and Its General Form
x2+x+1 is a f...
Question
x
2
+
x
+
1
is a factor of
a
x
3
+
b
x
2
+
c
x
+
d
=
0
where
(
a
,
b
,
c
,
d
,
∈
R
)
, then the real root of above equation is
A
−
d
/
a
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B
d
/
a
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C
(
b
−
a
)
/
a
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D
(
a
−
b
)
/
a
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Solution
The correct options are
A
−
d
/
a
D
(
a
−
b
)
/
a
Suggest Corrections
3
Similar questions
Q.
If
x
2
+
x
+
1
is a factor of
a
x
3
+
b
x
2
+
c
x
+
d
, then real root of
a
x
3
+
b
x
2
+
c
x
+
d
=
0
, is:
Q.
x
2
+
x
+
1
is a factor of a
x
3
+
b
x
2
+
c
x
+
d
=
0
, the the real root of above equation is
(
a
,
b
,
c
,
d
ϵ
R
)
.
Q.
If
b
2
<
2
a
c
and
a
,
b
,
c
,
d
∈
R
,
then the number of real roots of the equation
a
x
3
+
b
x
2
+
c
x
+
d
=
0
are
Q.
If
x
=
√
2
+
√
3
+
√
6
is a root of
x
4
+
a
x
3
+
b
x
2
+
c
x
+
d
=
0
where
a
,
b
,
c
,
d
are integers, what is the value of
|
a
+
b
+
c
+
d
|
?
Q.
If
x
=
√
2
+
√
3
+
√
6
is a root of
x
4
+
a
x
3
+
b
x
2
+
c
x
+
d
=
0
where
a
,
b
,
c
,
d
are integers, what is the value of
|
a
+
b
+
c
+
d
|
?
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