well i missed a week off school, and i am completely in the dark on my homework, if someone could please tell me what to do it would be GREATLY appreciated

1. The function f is given by f(x) = 2x3 +x2 – 13x+ 6.

(a) Find f(–2), f(½) and f(2).

(i) Write down the remainder when f(x) is divided byx+ 2.

(ii) Explain why 2x– 1 is a factor of f(x).

(b) Factorise f(x) and hence solve f(x) = 0.

(c) Sketch the curvey= f(x).

2. Factorise p(x) = 13x- 6 - 4x3.HINT you mayhaveto divide for this one!

Solve p(x) = 0.

Sketch the graph ofy= 13x- 6 - 4x3.

3. (a) Use the remainder theorem to find the remainder whenx3 – 2x2 + 8x– 3 is divided byx– 5.

(b) Whenx3 – 4x2 +ax+ 6 is divided byx– 3 the remainder is 18.

Find the value of the constanta.

4. Whenx3 +px2 +qx+ 1 is divided byx– 2 the remainder is 9 and when divided byx+ 3

the remainder is 19. Find the values of the constantspandq.

5. Find the value of the constantkgiven thatx+ 4 is a factor of f(x), where

f(x) = 3x3 + 10x2 –kx- 4.

Hence factorise f(x) and solve f(x) = 0.

in general i have no idea what f(x) means, is it something times what x is, please please help me.