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Quadratic Equations

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Summary
The essence of solving quadratic equations for the GRE exam involves understanding the unique strategies distinct from those used for linear equations, employing factoring methods, and applying the Zero Product Property to find solutions.
  • Quadratic equations are set in the form a squared plus bx plus c equals zero and often have two solutions.
  • The strategy for solving quadratic equations diverges significantly from that of linear equations, emphasizing the need for factoring and setting the equation to zero before solving.
  • The Zero Product Property is crucial for solving quadratic equations, allowing for the determination of solutions by setting each factor equal to zero.
  • Most quadratic equations encountered in the GRE can be solved by factoring into a product of linear binomials, then applying the Zero Product Property.
  • Some quadratics may have one solution, no solution, or require the use of the Quadratic Formula, especially in more advanced quantitative sections.
Chapters
00:01
Introduction to Quadratic Equations
01:12
Factoring and the Zero Product Property
04:29
Solving Quadratics with Special Conditions
06:43
General Procedure for Solving Quadratics

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Algebra, Equations, and Inequalities