If $\alpha, \beta, \gamma, \delta$ are the roots of the equation $x^4-4 x^3+3 x^2+2 x-2=0$ such that $\alpha$ and $\beta$ are integers and $\gamma, \delta$ are irrational numbers, then $\alpha+2 \beta+\gamma^2+\delta^2=$

• A

  $5$
• B

  $7$
• Correct answer
  C

  $11$
• D

  $13$

Hence, the correct answer is option: 'C'.