Solving Quadratic Equations and Inequalities

process used to rewrite a quadratic expression as the sum of a perfect square trinomial and a constant

part of the quadratic formula that is under the radical sign:

process of writing a number or algebraic expression as a product

polynomial equation, where $a$, $b$, and $c$ are real numbers and $a\neq 0$, that can be written in the form:

formula used to solve a quadratic equation of the form $ax^2+bx+c=0$ by using its coefficients:

mathematical statement that compares a quadratic expression of the form $ax^2 +bx + c$ to another expression or value using the symbols $<$, $>$, $\leq$, or $\geq$

value of the variable that makes the equation true, which means both sides are equal

value of the variable that makes the inequality true, which means the comparison is valid

value of $x$ where a graph touches or crosses the $x$-axis

any input value of a function that makes the output of the function equal to zero