Question

Following expression is polynomial in one variable or not? State reason for your answer.

${\displaystyle y^2+\sqrt{2}}$

Answer 1

We have ${\displaystyle y^2+\sqrt{2}}$ = ${\displaystyle y^2+\sqrt{2}{y}^0}$

It is a polynomial in one variable, i.e., y, because each exponent of y is a whole number.