3x^3-12x find this polynomial expression for the demensions for the cubios
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Answer :–
Dimensions of the Cuboid are :–
- length = 3
- breadth = x
- height = x² – 4
Given :–
- Polynomial = 3x³ – 12x
To Find :–
- Polynomial expression for the dimensions for the cuboids.
Solution :–
First, we need to factorise this polynomial,
→ 3x³ – 12x
→ 3(x³ – 12x)
→ 3x(x² – 4)
Hence,
The volume of the Cuboid = 3x(x² – 4)
We know that,
Volume of Cuboid = length × breadth × height
According to the factorisation,
The dimensions (length, breadth, height) of the Cuboid are :–
- Length (l) = 3
- Breadth (b) = x
- Height (h) = x² – 4
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