Choosing a Method to Solve Quadratics definitions Flashcards
Choosing a Method to Solve Quadratics definitions
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Quadratic Equation
An algebraic expression set to zero where the highest exponent of the variable is two. Factoring
A method that rewrites an equation as a product of simpler expressions, often used when constants or factors are obvious. Square Root Property
A technique applied when an equation is structured as a squared binomial equal to a constant, with no linear term. Completing the Square
A process that transforms a quadratic into a perfect square trinomial, especially effective when the leading coefficient is one and the linear coefficient is even. Quadratic Formula
A universal solution method for quadratics, especially useful when other approaches are not straightforward or coefficients are not simple. Leading Coefficient
The numerical factor in front of the squared variable in a quadratic equation. Constant Term
The standalone number in a quadratic equation, not attached to any variable. Linear Coefficient
The numerical factor multiplying the variable to the first power in a quadratic equation. Perfect Square Trinomial
A three-term expression that can be written as the square of a binomial. Obvious Factors
Numbers or expressions that can be easily identified as products forming the quadratic, making factoring straightforward. Binomial
An algebraic expression containing exactly two terms. Structured Approach
A step-by-step process for evaluating which solution method best fits a given quadratic equation. Even Coefficient
A numerical factor that is divisible by two, often making certain solution methods more efficient. Zero Constant
A situation in a quadratic equation where the constant term is absent, simplifying the factoring process. Method Selection
The process of determining the most efficient technique for solving a specific quadratic equation based on its structure.
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