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Coordinate Geometry

Question

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

$box enclose bold Volume bold space bold colon bold space bold 3 bold x to the power of bold 2 bold minus bold 12 bold x end enclose$

Solution

3x³ - 12x
= 3x(x - 4)
∴ The possible expressions for the dimensions of the cuboid are 3, x and x - 4.