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Descartes Rule of Signs Calculator
Count possible positive and negative real roots
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📐Descartes' Rule
Positive Roots
Count sign changes in P(x)
Maximum number or less by 2k
Negative Roots
Count sign changes in P(-x)
Substitute -x for x
Sign Change
+ to - or - to +
Adjacent non-zero terms
Complex Roots
Come in conjugate pairs
Remaining roots are complex
💼Applications
Algebra
• Root analysis
• Polynomial study
• Equation solving
Calculus
• Critical points
• Function analysis
• Graphing assistance
Number Theory
• Root bounds
• Polynomial properties
• Theoretical analysis