Question

Classify the following polynomial based on their degrees:

$2x$

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.

Let $p\left(x\right)=2x$

The degree of a polynomial is the highest power of $x$ in its expression.

Highest power of $x$ in $p\left(x\right)$ is $=1$

Thus, the degree of $p\left(x\right)$ is $1$

Hence, $p\left(x\right)=2x$ is a Linear polynomial.