Question

State whether the following expression is a polynomial in one variable or not.

$2x^5-x^3+x-6$

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.

$p\left(x\right)=2x^5-x^3+x-6$

According to above definition

$P\left(x\right)$ is a polynomial with $1$ variable i.e $x$