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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of an irreducible polynomial?
💡 Hint: Think about polynomials contributing to factorization.
Question 2
Easy
Identify whether (x² + 3) is irreducible in real numbers.
💡 Hint: Consider possible factor pairs.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is an irreducible polynomial?
- A polynomial that can be factored
- A non-constant polynomial with no non-constant factors
- A polynomial that can be divided by constant only
💡 Hint: Focus on the definition of irreducibility.
Question 2
True or False: All polynomials are reducible.
- True
- False
💡 Hint: Recall examples of irreducible polynomials.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine the irreducibility of the polynomial p(x) = x³ + x² + 1 in Z₂ and justify your answer.
💡 Hint: Test it against available values in Z₂.
Question 2
Given q(x) = x⁴ + 2x² + 1, prove it is reducible in Z₄.
💡 Hint: Factor it step-by-step.
Challenge and get performance evaluation