Question #31e5a

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Answer 1 · 2018-02-13T03:43:36

The polynomial is #1/2x^3-2 1/2x^2-13x+60#.

The volume of a rectangular prism or box is width times length times height.

We know...
Length: #x+5#
Width: #x-4#
Height: #1/2x-3#

Now we multiply them all together and simplify:
#(x+5)(x-4)(1/2x-3)#

#(x^2+5x-4x-20)(1/2x-3)#

#(x^2+x-20)(1/2x-3)#

#1/2x^3+1/2x^2-10x-3x^2-3x+60#

#1/2x^3-2 1/2x^2-13x+60#

Hope this helps!