(x+2)(x+3)(x+4) can be written in the form [tex]x^{3}[/tex] + a[tex]x^{2}[/tex] + bx c where a, b and c are positive integers.

Work out the values of a, b and c.

a = (Answer here) (1)

b = (Answer here) (1)

c = (Answer here) (1)