Felix needs to determine whether $x+3$ is a factor of $f(x)=-2 x^4-8 x^3-2 x-63$.



How can Felix use the factor theorem to determine whether $x+3$ is a factor of $f(x)$?



Complete the statements:

Felix evaluates [___] and determines its value to be [___]. Felix concludes that $x+3$ [___] a factor of $f(x)=-2 x^4-8 x^3-2 x-63$.