If a matrix $A$ is such that $3 A^3+2 A^2+5 A+\mathrm{I}=0$ Then what is $A^{-1}$ equal to?

• A

  $-\left(3 A^2+2 A+5\right)$
• B

  $3 A^2+2 A+5 I$
• C

  $3 A^2-2 A-5 I$
• Correct answer
  D

  $-\left(3 A^2+2 A+5 I\right)$

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