Given f(x)=-x-5, solve for x when f(x)=-6

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30

Let x have probability generating function gx (s) and let un generating function u(s) of the sequence uo, u1, satisfies p(x > n). show that the (1- s)u(s) = 1 - gx(s), whenever the series defining these generating functions converge.

Swimming fleury swam 6 laps the first day,15 laps the second day,24 laps the third day, and so on.on which day will fleury swim 51 laps if the pattern continues?