Which of the following is a **polynomial function**?
A$f(x) = \sqrt{x}$
B$f(x) = x^{2/3} + 2x$
C$f(x) = x^{3} - x^{2} + 2$
D$f(x) = \sin x$
Answer & Solution
Correct answer: C. $f(x) = x^{3} - x^{2} + 2$
A polynomial has the form $a_{0} + a_{1}x + \ldots + a_{n}x^{n}$ with **non-negative integer** exponents.
- **B** has a fractional exponent $2/3$ → not a polynomial.
- **C** is $x^{1/2}$ → not a polynomial.
- **D** is a trigonometric function.
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