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AP and TS EAMCET Engineering Model Paper 3
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© examsnet.com
Question : 1
Total: 160
Suppose
α
,
β
,
γ
are the roots of
x
3
+
x
2
+
x
+
2
=
0
. If
f
(
x
)
=
0
is a cubic polynomial equation whose roots are
α
+
β
−
2
γ
,
β
+
γ
−
2
α
,
γ
+
α
−
2
β
then
f
(
x
)
=
0
is
x
3
+
6
x
2
+
6
x
−
47
=
0
x
3
−
6
x
2
+
6
x
−
47
=
0
x
3
+
6
x
−
47
=
0
x
3
−
6
x
−
47
=
0
Validate
Solution:
y
=
α
+
β
−
2
γ
y
=
−
1
−
γ
−
2
γ
(
∵
α
+
β
+
γ
=
1
)
y
+
1
−
3
=
γ
sub
in
x
3
+
x
2
+
x
+
2
=
0
and simplifly
© examsnet.com
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