Question 1085282

Find all the zeros of {{{f(x)= x^5+4x^4+4x^3}}}

first set {{{f(x)= 0}}} and factor 

{{{0= x^3(x^2+4x+4)}}}

{{{0= x^3(x+2)^2)}}}

zeros:

{{{0= x^3}}}->{{{x=0}}} (it'll be of multiplicity three)

{{{0=(x+2)^2)}}}->{{{x=-2}}} (it'll be of multiplicity two)