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Byju's Answer
Standard X
Mathematics
Zeros of a Polynomial
If alpha ,bet...
Question
If alpha ,beta and gamma are the zeroes of cubic polynomial kx^3-5x+9 and alpha^3+ beta^3 +gamma^3= 27 then find the value of k.
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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.
If
α
,
β
and
γ
are zeros of the polynomial
6
x
3
+
3
x
2
−
5
x
+
1
, then find the value of
α
−
1
+
β
−
1
+
γ
−
1
.
Q.
Find the value of k if alpha and beta are zeroes of polynomial X square -5x+k and alpha and beta=-1
Q.
If
α
and
β
are the zeros of the quadratic polynomial
x
2
+
5
x
−
k
and
α
−
β
=
1
, then find the value of
k
.
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