There are more than one zero i.e. three zeros of the given polynomial.
The zeros are:
[tex]x=0,-2,-3[/tex]
We are given a function f(x) by:
[tex]f(x)=x^3+5x^2+6x[/tex]
We know that the zeros of the function f(x) are the possible values of x at which the function is equal to zero.
Hence, when f(x)=0 we have:
[tex]x^3+5x^2+6x=0\\\\i.e.\\\\x^3+3x^2+2x^2+6x=0\\\\i.e.\\\\x^2(x+3)+2x(x+3)=0\\\\i.e.\\\\(x^2+2x)(x+3)=0\\\\x(x+2)(x+3)=0\\\\i.e.\\\\x=0\ or\ x=-2\ or\ x=-3[/tex]
