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Question

What are the possible expressions for the dimensions of the cuboid whose volume is 3x^2-12x


Solution

3x2 - 12x
factorise
3x2 - 12x
=3(x2 - 4x)
=3x(x - 4)
There are only three factors, so there is only one combination of possible dimensions which are
3, x, and (x - 4)

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