BackSolving Quadratic Equations definitions
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1/15BackSkip to main contentBackQuadratic Equation
Polynomial expression with a degree of 2, typically arranged in descending powers and solved for variable values. Standard Form
Arrangement of terms as ax² + bx + c = 0, with all terms on one side and powers decreasing from left to right. Coefficient
Numerical factor multiplying a variable in an equation, crucial for identifying a, b, and c in quadratic expressions. Constant Term
Standalone number in an equation, representing c in the standard form and affecting solution types. Leading Coefficient
First numerical factor in a quadratic equation, associated with the x² term and influencing solution methods. Factoring
Process of rewriting a quadratic as a product of binomials, enabling solutions by setting each factor to zero. Square Root Property
Technique for solving equations in the form (x + a)² = k by taking both positive and negative square roots. Completing the Square
Method of transforming a quadratic into a perfect square trinomial, allowing use of the square root property. Quadratic Formula
Universal solution method for any quadratic equation, using a, b, and c in x = (-b ± √(b² - 4ac)) / (2a). Discriminant
Expression b² - 4ac under the square root in the quadratic formula, determining the nature of the roots. Complex Root
Solution involving the imaginary unit, arising when the discriminant is negative in a quadratic equation. Radical
Root expression, often appearing in solutions when the discriminant is not a perfect square. Perfect Square Trinomial
Quadratic expression that factors into (x + a)², created during the completing the square process. Binomial
Algebraic expression with two terms, commonly resulting from factoring quadratic equations. Degree
Highest power of the variable in a polynomial, indicating the equation type and solution approach.
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