(x+2)(x+3)(x+4) can be written in the form x^(3) + ax^(2) + 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 her…

Question

(x+2)(x+3)(x+4) can be written in the form
`x^(3)` + a
`x^(2)` + 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)

Answer 1

a = 9 ; b = 26 ; c = 24

Explanation:

(x^2+3x+2x+6)(x+4)

(x^2+5x+6)(x+4)

x^3+5x^2+6x+4x^2+20x+24

x^3+9x^2+26x+24