Hàm số \({x^3} - 5{x^2} + 3x + 1$\) đạt cực trị khi:

A. \(\left[ \begin{array}{l}
x = 0\\
x =  - \frac{{10}}{3}
\end{array} \right.\)

B. \(\left[ \begin{array}{l}
x =  - 3\\
x =  - \frac{1}{3}
\end{array} \right.\)

C. \(\left[ \begin{array}{l}
x = 0\\
x =   \frac{{10}}{3}
\end{array} \right.\)

D. \(\left[ \begin{array}{l}
x =   3\\
x =   \frac{1}{3}
\end{array} \right.\)