Express the quotient in simplest form.

(x-2)

x^3

Step-by-step explanation:

(x^2 -4)        x^3 -x^2 -6x

    ÷

x^3 + 7x^2        x^2 +4x -21

Copy dot flip

(x^2 -4)            x^2 +4x -21

    *  

x^3 + 7x^2         x^3 -x^2 -6x

Factor

(x-2)(x+2)        (x+7)(x-3)

    *  

x^2(x+7)         x(x-3)(x+2)

Cancel like terms

(x-2)                  1

    *  

x^2                     x

(x-2)

x^3

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides