Definition: Quadratic-Equations

A quadratic equation is a polynomial equation of the second degree, meaning it has the highest exponent of 2. It is written in the general form:

\$ax^2 + bx + c = 0\$

Explanation:

Here the given image shows the where x represents the unknown variable, and a, b, and c are coefficients.

Definition: Quadratic-Formula

The quadratic formula is a general formula that can be used to find the solutions of any quadratic equation. The formula is:

\$ x = (-b ± \sqrt (b^2 - 4ac)) / (2a) \$

Explanation:

In this formula, x represents the variable, while a, b, and c are coefficients of the quadratic equation \$ax^2 + bx + c = 0\$.

By substituting the values of a, b, and c into the quadratic formula, you can calculate the solutions for x. The ± symbol indicates that there are two possible solutions, one with a plus sign and the other with a minus sign.

Definition: Quadratic-Factors

Quadratic factors are the binomial expressions that result from breaking down a quadratic expression into its constituent parts through the process of factoring.

Explanation:

Here the given image shows that a quadratic expression is an algebraic expression of the form \$ax^2 + bx + c\$

where a, b, and c are constants and x is the variable.