Question

*
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​

Answer 1

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