CBSE · Class 9 · Mathematics · PolynomialsWhich of the following expressions is a polynomial in one variable?
Step-by-Step Solution
A polynomial in one variable is an algebraic expression containing only one variable with non-negative integer exponents. In the expression 3x^2 - 5x + 7, the variable is x, and all exponents are whole numbers (2, 1, and 0). Thus, it is a polynomial in one variable. Other options contain variables under roots or in denominators.
Detailed Options Breakdown
Option : 3x^2 - 5x + 7 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: y^2 + \sqrt{2}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 2: 3\sqrt{x} + \sqrt{2}x
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 3: x + 1/x
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.