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



Answer :

kate200468
[tex]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 \neq 0,\ x \neq - \frac{3}{2},\ x \neq -6[/tex]