A box has volume given by the trinomial x^3 + 5x^2 - 24x. What are the possible dimensions of the box? use factoring.

(1 point)

A. x, x - 3, and x + 8

B. x, x + 3, and x + 8

C. x, x - 3, and x - 8

D. x, x + 3, and x - 8

1 answer

The possible dimensions of the box correspond to the factors of the trinomial x^3 + 5x^2 - 24x.

We can factor out an x from each term to get x(x^2 + 5x - 24).

Next, we need to factor the quadratic x^2 + 5x - 24. This can be factored as (x + 8)(x - 3).

So the trinomial x^3 + 5x^2 - 24x can be factored as x(x + 8)(x - 3).

Therefore, the possible dimensions of the box are x, x + 8, and x - 3.

The correct answer is:

A. x, x - 3, and x + 8
Similar Questions
  1. x^2+10xAdd the proper constant to the binomial so tha tthe resulting trinomial is a perfect square trinomial. Then factor the
    1. answers icon 1 answer
  2. this question does not make sense to me.Add the proper constant to the binomial so that the resulting trinomial is a perfect
    1. answers icon 2 answers
  3. wat is a trinomialan trinomial is an equation with 3 terms such as 2x+3y-6 that's a trinomial. (a term is the 2x or the 3y or
    1. answers icon 0 answers
  4. What type of polynomial is this?2 - 5x^3 + 6x A)not a polynomial B)cubic trinomial C)quadric trinomial D)fourth-degree trinomial
    1. answers icon 2 answers
more similar questions