Hi! Ive been trying to do these problems for a while and Im stumped. I finished 13 problems and fully understand them , but I don't know how to do these problems. It would be nice if you could write each step out or the answer at the very least. Or hints or tips, like which theorem or something to use. Shortcuts.

6. Find all the roots for

2x^4 + 11x^3 + 17x^2 - 5x - 25 = 0

For this, how do you start it. Like what is the most efficient way. Also is there any shortcuts?

7. f(x) = 2x + x^2 - x + 3k

f(x) / x+2k has a remainder of -5, find k