Answer:
[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]
Step-by-step explanation:
[tex]f(x)=x^5-3x^3[/tex]
[tex]0=x^5-3x^3[/tex]
[tex]x^5-3x^3=0[/tex]
[tex]x^3(x^2-3)=0[/tex]
[tex]x^3=0[/tex] and [tex]x^2-3=0[/tex]
[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]
See the graph for a visual of the x-intercepts.
