Many of the theorems you learned for roots of polynomials don t apply to transcendental equations.

Question

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The theorems for roots of polynomials only apply to algebraic equations, whereas transcendental equations involve transcendental functions (e.g. trigonometric functions, exponential functions) and do not satisfy the properties of algebraic equations. Therefore, many of the theorems for roots of polynomials do not apply to transcendental equations. Transcendental equations involve functions that cannot be expressed as a finite combination of algebraic operations and constants, while polynomials involve only algebraic operations. Therefore, many of the theorems that apply to polynomial roots do not apply to transcendental equations.

Many of the Theorems You Learned for Roots of Polynomials