Which statement is correct about \((\sqrt{3})x^3-\pi x+2\)?

Correct answer: It is a polynomial because its coefficients are real and the powers of \(x\) are non-negative integers

\(\sqrt{3}\), \(-\pi\), and \(2\) are all real numbers, so they are valid coefficients of a polynomial. The powers of \(x\) are \(3\), \(1\), and \(0\), all of which are non-negative integers. Therefore, the given expression is a polynomial. The fact that \(\pi\) and \(\sqrt{3}\) are irrational does not make the expression non-polynomial; it is the exponents of the variable that must be non-negative integers. Exam tip: check the exponents of the variable first.