Question

What is the degree of a quadratic polynomial?

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

The correct option is C $2$

The general form of a quadratic polynomial in the variable $x$ can be shown as:
$a{x}^2+bx+c$

In the above expression $a$ and $b$ are the coefficients of $x^2$ and $x$ respectively, and $c$ is a constant term.

In the first term of the polynomial expression $a{x}^2+bx+c$, i.e., $a{x}^2$, the power of the variable $x$ is $2$.

In the second term of the polynomial expression $a{x}^2+bx+c$, i.e., $bx$, the power of the variable $x$ is $1$.

In the third term of the polynomial expression $a{x}^2+bx+c$, i.e., $c$, the power of the variable $x$ is $0$.


The highest power of $x$ in the polynomial expression $a{x}^2+bx+c$ is $2$. Hence, the degree of the quadratic polynomial, i.e., $a{x}^2+bx+c$ is $2$.

Therefore, option (c.) is the correct answer.