find the zeroes of quadratic polynomials and verify the relation between zeroes and coefficients 5*2-2S-8
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Answer:
Given quadratic polynomial is 2s
2
−(1+2
2
)s+
2
=2s
2
−s−2
2
s+
2
=s(2s−1)−
2
(2s−1)
=(2s−1)(s−
2
)
s=
2
1
and s=
2
The relationship between the zeroes and their coefficient,
Sum of the zeroes=−
coefficient of s
2
coefficient of s
=−(
2
−(1+2
2
)
)
=
2
1+2
2
Also sum of the zeroes=
2
1
+
2
=
2
1+2
2
Product of the zeroes=
coefficient of s
2
constant term
=
2
2
Also product of the zeroes=
2
1
×
2
=
2
2
Hence verified.
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