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Which of the following is polynomial ? (a) x²–5x 4√x 3 (b) x^3/2–x x^1/2 1 (c) √x 1/√x (d) √2x²–3√3x √6?
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Which of the following is polynomial ? (a) x²–5x 4√x 3 (b) x^3/2–x x^1...
Polynomial


Definition


  • A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

  • Polynomials can have one or more terms.



Options Given


  1. x²–5x 4√x 3

  2. x^3/2–x x^1/2 1

  3. √x 1/√x

  4. √2x²–3√3x √6



Solution

Option (a) is not a polynomial since it contains a radical expression with a variable in the denominator.

Option (b) is not a polynomial since it contains a fractional exponent.

Option (c) is not a polynomial since it contains a radical expression.

Option (d) is a polynomial since it only contains variables raised to non-negative integer exponents and coefficients.


Answer

The polynomial is option (d) √2x²–3√3x √6.
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Which of the following is polynomial ? (a) x²–5x 4√x 3 (b) x^3/2–x x^1...
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Which of the following is polynomial ? (a) x²–5x 4√x 3 (b) x^3/2–x x^1/2 1 (c) √x 1/√x (d) √2x²–3√3x √6?
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