Posted by **Missy** on Sunday, March 18, 2012 at 9:59pm.

a rectangular box has a volume of V(x)=x^3+13x^2+50x+56 cubic inches. The height of the box is x+7 inches. The width of the box is x+4 inches. Find the length of the box in terms of x.

- algebra -
**drwls**, Sunday, March 18, 2012 at 11:23pm
Divide the cubic equation by (x+7)(x+4), using polynomial long division, or by factoring the cubic.

Hint: In this case, (x+4) and (x+7) are factors of the cubic. Find the third factor.

Second hint:

(x^3 +13x^2 +50x + 56)/(x+4)

= x^2 + 9x + 14

(Now, factor that)

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