Question $2$

$0\mathrm{.}14pts$

Completely factor $f(x)=x^5-3x^4-9x^3+27x^2.$

Which of the following is true?

$x=0$ is a zero with multiplicity $1$

$x=3$ is a zero with multiplicity $2$

$x=-3$ is a zero with multiplicity $3$

$x=0$ is a zero with multiplicity $3$

$x=-3$ is a zero with multiplicity $2$