Question

alpha + beta = √2 , alpha * beta = 1/3 .Find the polynomial.​

Answer 1

Given,

Roots of polynomial:-

sum of zeroes (α+β)=alpha+ beta=√2

Product of zeroes

(αβ)= alpha *beta=1/3

so,

genaral formula=k(xsquare-(sum of zeroes)x+ product of zeroes)

=xsquare-√2x+1/3

Multiply whole equation by 3,we get :-

=>3xsquare-3√2+1

I hope this will help you dear...