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Byju's Answer
Standard IX
Mathematics
Polynomial and Its General Form
Fnd 3a if a...
Question
Fnd 3a if
a
,
−
1
,
−
1
a
are the zeroes of the cubic polynomial
p
(
x
)
=
3
x
3
−
5
x
2
−
11
x
−
3
. a>0
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Solution
Given,
a
,
−
1
,
−
1
a
are the zeroes of the cubic polynomial
p
(
x
)
=
3
x
3
−
5
x
2
−
11
x
−
3
.
Then we've from the relation between the roots and co-efficient we get,
a
−
1
−
1
a
=
5
3
or,
a
−
1
a
=
8
3
or,
3
(
a
2
−
1
)
=
8
a
or,
3
a
2
−
8
a
−
3
=
0
or,
3
a
2
−
9
a
+
a
−
3
=
0
or,
(
3
a
+
1
)
(
a
−
3
)
=
0
or,
a
=
−
1
3
or,
a
=
3
.
3
a
=
−
3
or,
3
a
=
9
.
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0
Similar questions
Q.
lf one zero of the cubic polynomial
P
(
x
)
=
3
x
3
−
5
x
2
−
11
x
−
3
is
−
1
3
, then other two zeroes are ________.
Q.
Verify that
3
,
−
1
,
−
1
3
are the zeroes of the cubic polynomial
p
(
x
)
=
3
x
3
−
5
x
2
−
11
x
−
3
and then verify the relationship between the zeroes and the coefficients
Q.
If
−
1
3
is the zero of the cubic polynomial
f
(
x
)
=
3
x
3
−
5
x
2
−
11
x
−
3
the other zeros are
Q.
Verify that
3
,
−
1
,
−
1
3
are the zeros of the cubic polynomial
3
x
3
−
5
x
2
−
11
x
−
3
.
Q.
If
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,
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and
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are the zeros of the cubic, polynomial
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, find
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