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14)If alfa and beta are the zeroes of the quadratic polynomial
f(x) = 3 x-5x -2, then evaluate alpha3+Beta3 find 1/alfa +1/beta
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Step-by-step explanation:
f(x)=3x2−5x−2
α+β=35,αβ=3−2
Given, βα2+αβ2
=αβα3+β3
=αβ(α+β)(α2+β2−αβ)
=αβ(α+β)∫(α+β)2−3αβ
=−2/3(35)(925+2.)
=2−5(943)=16−215
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