Locating real roots on the number line (Opposite signs at two points forces a crossing somewhere strictly)
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Opposite signs at two points forces a crossing somewhere strictly between for a continuous quadratic
What each symbol means
| Symbol | What it stands for |
|---|---|
| f | Quadratic polynomial |
| m,n | Real endpoints |
When to use this
Continuous on ℝ; quadratic has at most two real roots.