[tex]\text{The vertical asymptote at 4 is at the point where we have (x-4) at the denominator of the rational expression}[/tex][tex]\text{The Zeros at 0 and 3 is at the point where we have x and (x-3) at the numerator of the rational expression}[/tex][tex]\text{The Holes at (5,10) is at the point where we have (x-5) at both the numerator and denominator of the rational expression}[/tex]
Hence, the function that satisfies these criteria is option C