Answer 1

Since 𝛼 𝑎𝑛𝑑 𝛽 are the roots of the polynomial: 4𝑥² − 5𝑥 − 1

∴ Sum of the roots `alpha+beta=5/4`

Product of the roots `alphabeta=(-1)/4`

Hence `alpha^2beta+alphabeta^2=alphabeta(alpha+beta)=5/4((-1)/4)=(-5)/16`