I have two Questions:

any sort of help would help even a hint of what methods to use much appreciated

i just need help with 1 of the 2 questions which ever is easier

The reason i put 2 questions up is because one is copied of the board not sure if i copied it right other one is given from my text with the solution.

1.)

f(x)= 3x^3+b^2+cx+2

Zeros (x-2) (x+3)

solve for b and c

2.)

f(x)= 3x^4 +14x^3+px^2+qx+24 has x intercepts -4 and 2

determine the function

Solution: f(x)= 3x^4+14x^3-11x^2-70x+24