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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
The possible expressions for the length, breadth and height of the cuboid whose volume is given by 3x3 - 12x is:
  • A
    3x, (x + 2) and (x - 2)
  • B
    x, (3x + 2) and (x - 2)
  • C
    x, (x + 2) and (3x - 2)
  • D
    None of these.
✓

Answer

  1. 3x, (x + 2) and (x - 2)
    Solution:
    To find the length, breadth and height, we will factorize the given polynomial.
    3x3 - 12x
    = 3x[x2 - 4]
    = 3x[x2 - (2)2]
    = 3x(x + 2) (x + 2)
    Therefore, the possible expressions for the length, breadth and height of the cuboid whose volume is given by 3x3 - 12x are 3x, (x + 2) and (x - 2).

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