GRE Quadratic Equations: A Guide to Efficient Problem Solving

Quadratic equations are a key part of the GRE's algebra content. While the on-screen calculator can be used, true speed and accuracy come from mastering the core algebraic methods and knowing the strategic shortcuts for question types like Quantitative Comparison.

Section 1: Core Solving Methods

The Foundation: What is a Quadratic?

Start with the core definition of a quadratic equation and use our interactive verifier to understand what the "roots" of an equation represent.

Method 1: Solving by Factoring

Learn the step-by-step process of factoring quadratic expressions to find the roots of an equation. This is a crucial non-calculator skill.

Method 2: The Quadratic Formula

Master the universal tool for solving any quadratic equation. Our interactive calculator shows you how to apply the formula step by step.

Section 2: GRE Strategies & Shortcuts

Key Shortcut: Sum & Product of Roots

Learn the formulas for finding the sum (-b/a) and product (c/a) of the roots without actually solving the equation—a vital GRE time-saver.

GRE Strategy: Quantitative Comparison (NEW)

Apply the Sum of Roots formula to a real QC problem. See how the conceptual shortcut is much faster than brute-force calculation.

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