MCQ
The possible expressions for the length, breadth and height of the cuboid whose volume is given by $3 x^3-12 x$ is:
- ✓$3x, (x + 2)$ and $(x - 2)$
- B$x, (3x + 2)$ and $(x - 2)$
- C$x, (x + 2)$ and $(3x - 2)$
- DNone of these.
✓
Answer
Correct option: A.
$3x, (x + 2)$ and $(x - 2)$
To find the length, breadth and height, we will factorize the given polynomial.
$3 x^3-12 x$
$=3 x\left[x^2-4\right]$
$=3 x\left[x^2-(2)^2\right]$
$=3 x(x+2)(x+2)$
Therefore, the possible expressions for the length, breadth and height of the cuboid whose volume is given by $3 x^3-12 x$ are $3 x, ( x+ 2)$ and $( x-2 ).$
$3 x^3-12 x$
$=3 x\left[x^2-4\right]$
$=3 x\left[x^2-(2)^2\right]$
$=3 x(x+2)(x+2)$
Therefore, the possible expressions for the length, breadth and height of the cuboid whose volume is given by $3 x^3-12 x$ are $3 x, ( x+ 2)$ and $( x-2 ).$
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