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aliyah327 aliyah327
  • 27-05-2014
  • Mathematics
Answered

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

Verified Answer :

kate200468
kate200468 kate200468
  • 27-05-2014

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

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