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Byju's Answer
Standard X
Mathematics
Zeros of a Polynomial
alpha,beta,ga...
Question
alpha,beta,gamma are the zeroes of cubic polynomial x^3-6x^2+p(x-1)+5. If alpha,beta,gamma are in A.P. , then find the product of all the zeroes.
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Similar questions
Q.
α
,
β
,
γ
are zeros of cubic polynomial
x
3
−
12
x
2
+
44
x
+
c
.
If
α
,
β
,
γ
are in A.P. find the value of c
Q.
If
α
,
β
,
γ
are the zeroes of the cubic polynomial
x
3
+
4
x
+
2
, then find the value of
1
α
+
β
+
1
β
+
γ
+
1
γ
+
α
Q.
If
α
,
β
,
γ
are the zeroes of the cubic polynomial
4
x
3
+
8
x
2
−
6
x
−
2
,
find the values of the expressions given below:
$
\alpha +\beta + \gamma , \alpha \beta + \beta \gamma + \gamma \alpha
a
n
d
\alpha \beta \gamma $.
Q.
Find a cubic polynomial whose zeros are
α
,
β
and
γ
such that
(
α
+
β
+
γ
)
=
4
,
(
α
β
+
β
γ
+
γ
α
)
=
1
and
α
β
γ
=
−
6
.
Q.
I
f
α
,
β
a
n
d
γ
are the zeroes of the polynomial,
f
(
x
)
=
x
3
−
p
x
2
+
q
x
−
r
,
t
h
e
n
1
α
β
+
1
β
γ
+
1
γ
α
=
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