Question

Express the quotient in simplest form.

Answer 1

(x-2)

----------------

x^3

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