Question

Which of the following is a polynomial?
(A) x² – 5x + 4√x + 3
(B) x^3/2 – x + x1/2 + 1
(C) √x + 1/√x
(D) √2x² - 3√3x + √6

Answer 1

Answer: (D) √2x² - 3√3x + √6

An expression of the form p(x) = a₀ + a₁x + a₂x² + ….. + a_nx_n, where a_n ≠ 0, is called a polynomial in x of degree n. 
Here, a₀, a₁, a₂, ……, an are real numbers and each power of x is a non-negative integer.
Hence, √2x² - 3√3x + √6 is a polynomial.