Practice - Prerequisite Condition (Proper Rational Function)
Practice Questions
Test your understanding with targeted questions
Define a proper rational function.
💡 Hint: Think about the degrees of polynomials.
What must be done if a rational function is improper?
💡 Hint: Recall the steps of numerical long division.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a proper rational function?
💡 Hint: Focus on powers of the variables.
If you have an improper rational function, what is the next step?
💡 Hint: Consider what is necessary for simplification.
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Challenge Problems
Push your limits with advanced challenges
Demonstrate the process of polynomial long division for N(s) = s^4 + 2s^3 + s and D(s) = s^2 + 1.
💡 Hint: Align terms of similar degrees.
Evaluate the time-domain effects of the polynomial part obtained from an improper rational function given N(s) = s^3 + 3s and D(s) = s^2 + 1.
💡 Hint: Identify how the polynomial translates into time-domain behavior.
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Reference links
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