Calculate the critical points for the function $p\left(x\right)=2x^4-16x^2+32$ on the interval $[-2,3]$. Identify the absolute maximum and minimum values.

Critical points: $x=\(\left\[\lbrace\)-2,0,2\(\right\]\rbrace\)$

$p_{\(\min\)}\(\left\)(-2\(\right\))=0$ and $p_{\(\min\)}\(\left\)(2\(\right\))=0$

$p_{\max }\left(0\right)=50$

Critical points: $x=\(\left\[\lbrace\)-2,0,2\(\right\]\rbrace\)$

$p_{\(\min\)}\(\left\)(-2\(\right\))=0$$p_{\(\min\)}\(\left\)(2\(\right\))=0$

$p_{\max }\left(2\right)=50$

Critical points: $x=\(\left\[\lbrace\)-2,0,2\(\right\]\rbrace\)$

$p_{\(\min\)}\(\left\)(-2\(\right\))=0$ and $p_{\(\min\)}\(\left\)(2\(\right\))=0$

$p_{\(\max\)}\(\left\)(3\(\right\))=50$

Critical points: $x=\{-2,2\}$

$p_{\(\min\)}\(\left\)(-2\(\right\))=0$ and $p_{\(\min\)}\(\left\)(2\(\right\))=0$

$p_{\(\max\)}\(\left\)(3\(\right\))=50$