The length of a box is 2 centimeters less than its height. the width of the box is 7 centimeters more than its height. How do you write a polynomial that represents the volume of the box?

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Answer 1 · 2016-09-26T13:49:15

Let the the height be #x#. Then the width is given by #x+ 7# and the length is given by #x - 2#.

#V = l xx w xx h #

#V = (x - 2)(x + 7)(x)#

#V = (x^2 - 2x + 7x - 14)(x)#

#V = (x^2 + 5x - 14)(x)#

#V = x^3 + 5x^2 - 14x" cm"^3#

Hopefully this helps!