SOLUTION: The volume in cubic metres of water in an aquarium is given by the polynomial v(x)=x^3-16x^2+79x-120.If the dept in metres can be represented by x-3, what are the possible dimensio
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Question 751370: The volume in cubic metres of water in an aquarium is given by the polynomial v(x)=x^3-16x^2+79x-120.If the dept in metres can be represented by x-3, what are the possible dimensions of the rectangular aquarium in terms of x if the aquarium holds 70 cubic metres (70 000 litres)
The answer is 7 by 5 by 2 i need the steps though!!
ANY HELP APPRECIATED!
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
If x-3 is actually a root for v(x), then you could more easily factor the function. Try synthetic division by (x-3). See what this allows you to do. I have not tried all this yet but it might be all you need.
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I'm not getting anything like what you say is the answer. That "x-3" seems to be no help. At holding 70 cubic meters, ;
Trying synthetic division according to Factor Theorem so a rational root is 10. The quadratic factor has imaginary parts.
if this aquarium holds 70 m^3, and the depth is meters.
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