x^(3)-4x^(2)-21x

write the polynomial in factored form

x^(3)-4x^(2)-21x can be factored as x(x^2-4x-21). Next, x^2-4x-21 can be further factored as (x-7)(x+3).

Therefore, the polynomial can be written in factored form as x(x-7)(x+3).