Find the linearization $L(x)of$ the function $ata.$

$f(x)=x3-x2+8,a=-3$

Step $1$

Recall that the linearization $of$

$f(x)$

for $x=ais$ given $by$

$L(x)=f(a)+f(a)(x-a).$

For

$f(x)=x3-x2+8,$

$we$ have the following.

$f(x)=$