The problem is$\displaystyle \frac{t^8+9t+3}{t^2}$

I used the qoutent rule and got$\displaystyle \frac{t^2(8t^7+9)-t^8+9t+3(2t)}{(t^2)^2}$

I ended with $\displaystyle \frac{3t(2t^8+9t+2)}{t^4}$

This work isn't looking like the answer at all. Where am I going wrong?

Thanks