Question

State whether the following expression is a polynomial in one variable or not. Give reasons for your answer.

$y^3+2\sqrt{3}$

Answer 1

A polynomial is a function of the form $f\left(x\right)=a_n{x}^n+a_{n-1}{x}^{n-1}+...+a_2{x}^2+a_{1}x+a_0$ .

where $a_n,a_{n-1},...a_2,a_1,a_0$ . are contants

and $n$ is a natural number.

Given that

$P\left(y\right)=y^3+2\sqrt{3}$

given expression clearly satisfies the definition of Polynomial as written above

and $P\left(y\right)$ is polynomial with one variable $y$