Hi, I'm having trouble with these five questions.

1. When 2x3 + x2 - 2kx + f is divided by x - 1, the remainder is -4, and when it is divided by x+2, the remainder is 11. Determine the values of k and f.
2. Determine an expression for f(x) in which f(x) is cubic, when , f(x)<0 when x>2, and f(0)=4. You must show your reasoning behind the function.
3. Solve for x, XER: (using factor theorum, synthetic division and a chart)

a) (x+1)(x-2)(x-4) 0

b) -x+25 <0

4.The intervals of increase and decrease of the following functions:

a) Y = -(x-2)(x-4)

b) Y = x(x+1)(x-3)

5.Determine the remainder when x +3x - x - 2 s divided by (x+3) (x+5).