MP Board · Class 10 · Mathematics · PolynomialsWhich of the following is not a polynomial?
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Total Attempts: 5
Accuracy Rate: 60%
Step-by-Step Solution
A polynomial cannot have negative powers or fractional powers (square roots) of the variable in its terms. In option C, $\sqrt{x}$ means $x^{1/2}$, which has a fractional exponent, so it is not a polynomial.
Detailed Options Breakdown
Option : $x^2 + 2x + 1$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 1: $3x^3 - 5x + 7$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 2: $x + \frac{1}{x}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $7$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
💡 Study Guide: This question tests core syllabus concepts from Polynomials. For formulas, key summaries, and mock exam reference guides, read the full Polynomials Revision Notes.