can someone please help me find all the zeros of the following polynomial. write the polynomial in factored form.

Question

f(x)=x^3-3x^2+16x-48

can you please show all work

Answer 1

Group two by two
X^2(x-3)+16(x-3)
(X-3)(x^2+16)
For zeros
X-3=0
X=3

X^2+16=0
X^2=-16
X=+or- 4i