find a quadratic polynomial if the sum of zeroes is -4√2 and product of the zeroes is -10
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If S and P be the sum and product of zeroes of quadratic equation, then quadratic Polynomial is given by
If S and P be the sum and product of zeroes of quadratic equation, then quadratic Polynomial is given by
x
2
−
S
x
+
P
x2−Sx+P
H
e
r
e
,
S
=
√
3
,
P
=
−
1
Here,S=3,P=−1
∴
the required polynomial is
x
2
−
√
3
x
−
1
∴the required polynomial is x2−3x−1
Option C is correct.
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