Module · Algebra
Chapter 15: Quadratic Equations
Algebra
4 topics
🎯 1 practice questions
What this chapter covers
The 4 topics below make up Quadratic Equations on the GRE. Click any topic to open its notes, examples and practice test.
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
Solving a quadratic
| Standard form | ax² + bx + c = 0, a ≠ 0 |
|---|---|
| Quadratic formula | x = [ −b ± √(b² − 4ac) ] / (2a) |
| Discriminant | D = b² − 4ac |
| Zero-product rule | if (x − p)(x − q) = 0 then x = p or x = q |
Structure & shortcuts
| Sum of roots | p + q = −b/a |
|---|---|
| Product of roots | p × q = c/a |
| Difference of squares | a² − b² = (a + b)(a − b) |
| Perfect-square trinomials | (x ± k)² = x² ± 2kx + k² |
| Reconstruct from roots | x² − (sum)x + (product) = 0 |
GRE reference
🖩 Graphing Calculator