SOLUTION: The volume of a rectangular box is V(x)=(6x^3+29x^2-7x-10)cm^3. The box has a length of (2x+1)cm and a width of (x+5)cm. Determine the height of the box. thanks for your time :)

Question 999752: The volume of a rectangular box is V(x)=(6x^3+29x^2-7x-10)cm^3. The box has a length of (2x+1)cm and a width of (x+5)cm. Determine the height of the box.
thanks for your time :)
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The volume of a rectangular box is V(x)=(6x^3+29x^2-7x-10)cm^3. The box has a length of (2x+1)cm and a width of (x+5)cm. Determine the height of the box.
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Divide the cubic by one of the binomials, then by the other.

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

The volume of a rectangular box is
.
The box has a length of and a width of.
Determine the height of the box.
...since , means and two of factors and the height is third factor; so,
factor given equation completely
...write as and as
...group

so, the height is:

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