I need to find a solution of the following equation :
$$t-2 = h(t)\cdot (t^7 -128) + f(t)\cdot (t^2 -4)$$
Where $h(t)$ and $f(t)$ are polynomials. I'm thinking I need to to nullify some of the terms but I don't know how to proceed. My teacher told us we can proceed by trial and error but I can't seem to figure it out ! Can someone help me ? Thank you !