Factor g$($x$)=2$x$^(4)-5$x$^(3)-12$x$^(2)$ to find the zeros and analyze the multiplicities of the zeros. Based on your findings, what is happening at x$=4?$ there is an asymptote at $4$ g$($x$)$ is crossing the x$-$axis the function is equal to $-12$ g$($x$)$ is tangent to the x$-$axis