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Byju's Answer
Standard XII
Mathematics
Sum of n Terms
Find all the ...
Question
Find all the zeros of the polynomial
2
x
3
+
x
2
−
6
x
−
3
,
if two of its zeros are
−
√
3
and
√
3
.
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Solution
f
(
x
)
=
2
x
3
+
x
2
−
6
x
−
3
Let Third zero be
α
α
+
√
3
+
(
−
√
3
)
=
−
1
2
∴
=
−
1
2
So all the zeros of
f
(
x
)
are
−
√
3
,
√
3
,
−
1
2
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Q.
Find all the zeros of the polynomial 2x
3
+ x
2
− 6x − 3, if two of its zeros are
-
3
and
3
.