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Byju's Answer
Standard XII
Mathematics
Introduction to Quadratic Equations and Polynomials
α,β,γ,δ are t...
Question
α
,
β
,
γ
,
δ
are the roots of
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
=
0
,
a
≠
0
.
Choose the correct pair
A
α
β
γ
+
α
β
δ
+
β
γ
δ
+
α
γ
δ
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B
α
β
γ
δ
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C
−
b
a
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D
α
β
+
α
γ
+
α
δ
+
β
γ
+
β
δ
+
γ
δ
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E
c
a
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F
−
d
a
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G
α
+
β
+
γ
+
δ
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H
e
a
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Similar questions
Q.
If
2
,
5
,
7
,
−
4
are the roots of
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
=
0
then the roots of
a
x
4
−
b
x
3
+
c
x
2
−
d
x
+
e
=
0
are:
Q.
In a standard biquadratic equation
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
=
0
, what is the product of roots?
Q.
If
x
3
+
1
is a factor of
a
x
2
+
b
x
3
+
c
x
2
+
d
x
+
e
,
a, b, c, d, e
ϵ
R
a
n
d
a
≠
0
,
then the real root of
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
=
0
other than -1 is
Q.
What is the degree of the polynomial
p
(
x
)
:
p
(
x
)
=
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
,
given
a
b
=
0
&
b
≠
0.
Q.
One root of
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
=
0
, where
a
,
b
,
c
,
d
,
e
are rational numbers, is
√
2
+
√
3
, then the other real roots are:
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