IsidroHerring834 IsidroHerring834

25-03-2015
Mathematics

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

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RedRicin RedRicin

25-03-2015

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.

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