Question

Which of the following is not a polynomial?

• A. \( \sqrt{3} x^2 - 5\sqrt{2} x + 3 \)
• B. \( 3x^2 - 4x + \sqrt{5} \)
• C. \( x + 2\sqrt{x} \)
• D. \( \frac{1}{5} x^3 - 3x^2 + 2 \)

Hint:

A polynomial can only contain whole number exponents of the variable \( x \).

Answer 1

The Correct Option is C

A polynomial can only have whole number powers of the variable \( x \). Let's check each option: - Option (A): The exponents of \( x \) are whole numbers, so this is a polynomial. - Option (B): The exponents of \( x \) are whole numbers, so this is a polynomial. - Option (C): \( 2\sqrt{x} \) has \( x^{\frac{1}{2}} \), which is not a whole number, so this is not a polynomial. - Option (D): The exponents of \( x \) are whole numbers, so this is a polynomial. Thus, the correct answer is \( \boxed{C} \).