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Quadratic Equations

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Summary
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.
Chapters
00:01
Introduction to Quadratic Equations
01:12
Solving Quadratics by Factoring
01:39
Applying the Zero Product Property
04:28
Special Cases in Quadratic Equations

Quiz

Algebra