Question

What is a quadratic polynomial?

Answer 1

Quadratic polynomial:

A quadratic polynomial is a polynomial having the highest exponent degree of $2$.

The general form of a quadratic polynomial is written as, $\mathit{f}\mathbf{\left(}\mathit{x}\mathbf{\right)}\mathbf{=}\mathit{a}{\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathit{b}\mathit{x}\mathbf{+}\mathit{c}$,$\mathit{a}\mathbf{\ne }\mathbf{0}\mathbf{,}\mathit{b}\mathbf{}\mathit{a}\mathit{n}\mathit{d}\mathbf{}\mathit{c}\mathbf{}\mathbf{\text{are real numbers}}$,

The curve of the quadratic polynomial is called a parabola.

Example:

$$\begin{gathered} \left(i\right)f\left(x\right)=5x^2+20x+4 \\ \left(ii\right)f\left(x\right)=x^2-6x+9 \end{gathered}$$

Hence, the quadratic polynomial is a polynomial having the highest exponent degree of $2$.