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Byju's Answer
Standard XII
Mathematics
Introduction to Quadratic Equations and Polynomials
The zeroes of...
Question
The zeroes of the polynomial
f
(
x
)
=
x
2
−
3
are
x
=
A
3
,
−
3
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B
√
3
,
−
√
3
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C
3
,
−
√
3
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Solution
The correct option is
B
√
3
,
−
√
3
Given:
f
(
x
)
=
x
2
−
3
Now, for finding the zeroes of the polynomial, we equate the function
f
(
x
)
=
0
⇒
x
2
−
3
=
0
⇒
x
2
=
3
⇒
x
=
±
√
3
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Q.
Obtain all zeros of the polynomial f(x) = x
4
− 3x
3
− x
2
+ 9x − 6, if two of its zeros are
-
3
and
3