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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
Which of the following expression is a polynomial?
  • A
    $\sqrt{\text{x}}-1$
  • B
    $\frac{\text{x}-1}{\text{x}+1}$
  • C
    $\text{x}^2-\frac{2}{\text{x}^2}+5$
  • D
    $\text{x}^2+\frac{2\text{x}^\frac{3}{2}}{\sqrt{\text{x}}}+6$
✓

Answer

  1. $\text{x}^2+\frac{2\text{x}^\frac{3}{2}}{\sqrt{\text{x}}}+6$
    Solution:
    A polynomial is an algebraic expression in which the variables involved have only non-negative integrals powers.
    Option (a), (b) and (c) have negative and non-integral powers,
    So they are not polynomials.
    In option (d),
    $\text{x}^2+\frac{2\text{x}^\frac{3}{2}}{\sqrt{\text{x}}}+6=\text{x}^2+2\text{x}^{\frac{3}{2}-\frac{1}{2}}+6$
    x2 + 2x1 + 6 Which is a polynomial.

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