Polynomials · Class 9 · CBSE Mathematics

Which of the following expressions is a polynomial in one variable?

Practice question from Polynomials (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-E8D680

Which of the following expressions is a polynomial in one variable?

  1. A.x + 2/x
  2. B.sqrt(x) + 3
  3. C.3x^2 - 2x + 5Correct answer
  4. D.x^2 + y^2 + 1

Solution

A polynomial in one variable must have only non-negative integer powers of the variable and only one variable. Option C has variable xx with powers 22 and 11, which are non-negative integers. Option A has 2/x=2x−12/x = 2x^{-1}, Option B has x=x1/2\sqrt{x} = x^{1/2} (not a whole number power), and Option D has two variables (xx and yy).

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