The fourth degree Taylor polynomial for $f(x) = x^3$ centered at $a=-3$ is $T_4(x) = c_0 + c_1(x + 3) + c_2(x + 3)^2 + c_3(x + 3)^3 + c_4(x + 3)^4.$

Find the coefficients of this Taylor polynomial.
$c_0 =$
$c_1 =$
$c_2 =$
$c_3 =$
$c_4 =$

? True False Cannot be determined The function $f(x) = x^3$ equals its fourth degree Taylor polynomial $T_4(x)$ centered at $a = -3$. Hint: Graph both of them. If it looks like they are equal, then do the algebra.