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Quadratic Equations

The essence of solving quadratic equations for the GRE exam involves a distinct approach from linear equations, focusing on setting the equation to zero, factoring, and applying the Zero Product Property to find solutions.
  • Quadratic equations typically have two solutions and are of the form ax squared + bx + c = 0.
  • The strategy for solving quadratic equations diverges from linear equations, emphasizing the need to set equations to zero, factor them, and then apply the Zero Product Property.
  • Most quadratic equations encountered in the GRE can be solved by factoring into a product of linear binomials, then using the Zero Product Property to solve for x.
  • It's crucial to understand the mathematical 'or' in the context of the Zero Product Property, which includes the possibility of both conditions being true.
  • Some quadratics may have one solution or none, depending on their specific characteristics.
Introduction to Quadratic Equations
Solving Quadratics by Factoring
Applying the Zero Product Property
Special Cases in Quadratic Equations