find the product of the zeroes of the quadratic polynomial 3xsq+5x-2
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Step-by-step explanation:
f(x)=3x
2
−5x−2
α+β=
3
5
,αβ=
3
−2
Given,
β
α
2
+
α
β
2
=
αβ
α
3
+β
3
=
αβ
(α+β)(α
2
+β
2
−αβ)
=
αβ
(α+β)∫(α+β)
2
−3αβ
=
−2/3
(
3
5
)(
9
25
+2.)
=
2
−5
(
9
43
)=
16
−215
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