Question

Classify the following polynomial based on their degrees:

$y^2-4$

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 $p\left(y\right)=y^2-4$

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

The highest power of $y$ in $p\left(y\right)$ is $=2$

Thus, the degree of $p\left(y\right)$ is $2$

Quadratic polynomials is of degree $2$.

Hence, $p\left(y\right)=y^2-4$ is a Quadratic polynomial.