Answer:
The possible zeros/roots of the polynomial are
[tex]x = 0\\x=-\sqrt{3} \\ x=\sqrt{3}[/tex]
Step-by-step explanation:
[tex]h(x)=5x^3 - 5x - 10x[/tex]
[tex]h(x)=5x^3 -15x[/tex]
[tex]h(x)=5x(x^2 -3)[/tex]
When [tex]y= 0[/tex]
[tex]0=5x(x^2 -3)[/tex]
[tex]5x = 0 \implies x = 0[/tex]
[tex]x^2 - 3 = 0 \implies x=\pm\sqrt{3}[/tex]
