Answer:
3 roots.
Step-by-step explanation:
To determine how many roots a polynomial has, you have to look at the term with the highest exponent. That exponent is how many roots the polynomial will have.
Then, for:
[tex]0=x^2(x+3)^4(x-1)[/tex]Since this polynomial is factored already equalizing 0, we can see that there are three roots:
[tex]\begin{gathered} x=0 \\ x+3=0 \\ x-1=0 \end{gathered}[/tex]