Answer :
[tex]f(x)=\dfrac{1}{4}x^2(x^2-5)(x+3)\\
x=0 \vee x=-\sqrt5 \vee x=\sqrt5 \vee x=-3[/tex]
x=0 is a double root and the graph touches the x-axis at it.
The rest zeroes are single ones and the graph crosses the x-axis at them.
x=0 is a double root and the graph touches the x-axis at it.
The rest zeroes are single ones and the graph crosses the x-axis at them.