Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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

Sagot :

Since the volume of a box is just three factors, each being the sides multiplied together, we basically need to factor these into three numbers that would multiply back out and get x^3 + 5x^2 -24x. Factor out an x and get x(x^2+5x-24), then factor normally and get x(x+8)(x-3). (8 and -3 multiply into -24, and add into 5) Your three dimensions are x, x+8, and x-3.