a rectangular prism has a volume 4x³+30×²+36x, what linear expressions can represent possible dimensions of the prism

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asked Jan 6, 2015 215k views

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a rectangular prism has a volume 4x³+30×²+36x, what linear expressions can represent possible dimensions of the prism

Mathematics
middle-school

Firstresponder asked

by Firstresponder

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$4x^3+30x^2+36x=2x(2x^2+15x+18)=2x(2x^2+3x+12x+18)=\\\\=2x[x(2x+3)+6(2x+3)]=2x(2x+3)(x+6)\\\\the\ possible\ dimensions\ of\ the\ prism:\\\\a=2x,\ \ b=2x+3,\ \ c=x+6\\\\ \ \ and\ \ \ x \\eq 0,\ x \\eq - (3)/(2),\ x \\eq -6$

Phenomnomnominal answered Jan 12, 2015

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