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Polynomials — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsPolynomials1 Mark
MCQ
Which of the following expressions is not a polynomial ?
  • A
    $\sqrt{5}\text{x}^{3}-\frac{3}{5}\text{x}+\frac{1}{7}$
  • ✓
    ${5}\text{x}^{3}-{3}\text{x}^{2}-\sqrt{\text{x}}+{2}$
  • C
    ${5}\text{x}^{3}-{3}\text{x}^{2}-\text{x}+\sqrt{2}$
  • D
    ${5}\text{x}^{2}-\frac{2}{3}\text{x}+{2}\sqrt{5}$
✓

Answer

Correct option: B.
${5}\text{x}^{3}-{3}\text{x}^{2}-\sqrt{\text{x}}+{2}$
${5}\text{x}^{3}-{3}\text{x}^{2}-\sqrt{\text{x}}+{2}$ is not a polynomial because each term of a polynomial should be a product of a constant and one or more variable raised to a positive, zero or integral power.
Here $\sqrt{\text{x}}$ does not satisfy the condition of being a polynomial.

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