Question

Is x² + x + √2 a polynomial in one variable ? Give reason for your answer.​

Answer 1

Answer:

By definition, a polynomial in a variable x over a field (or a ring) is a finite linear combination of non-negative integer powers of x with coefficients from the field. Consequently √(x+2) or √x +2 are not polynomials.

Answer 2

By definition, a polynomial in a variable x over a field (or a ring) is a finite linear combination of non-negative integer powers of x with coefficients from the field. Consequently √(x+2) or √x +2 are not polynomials.