Question

Given `f(x)=x+2, g(x)=x-3, h(x)=x+4` how do you determine `y=f(x)g(x)h(x)`?

Answer 1

`x^3 +3x^2 - 10x -24`

Explanation:

Use substitution:
`y = f(x)*g(x)*h(x) = (x+2)(x-3)(x+4)`

Distribute the first two factors: `(x^2+2x-3x-6)(x+4)`

Simplify: `(x^2-x-6)(x+4)`

Distribute and add like-terms:
`x^3 + 4x^2 -x^2 -4x -6x -24`

`= x^3 +3x^2 - 10x -24`