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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define irreducible polynomial in simple terms.
💡 Hint: Think about what would happen if we could break it down.
Question 2
Easy
In GF(5), what would be the result of adding (3x + 4) and (2x + 2)?
💡 Hint: Be careful with adding coefficients!
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 the result of adding 2x^2 + 2 and x^2 + 1 in GF(3)?
- 1
- 2x^2 + 2
- 0
💡 Hint: Remember to add coefficients considering modulo.
Question 2
True or False: The product of any two non-zero elements in a field cannot be zero.
- True
- False
💡 Hint: Recall the definition of field behavior.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If f(x) = x^4 + 1 and g(x) = x^2 + 2, determine their GCD over GF(5).
💡 Hint: Start by dividing the higher degree polynomial.
Question 2
Prove that (x - 3) is a factor of f(x) = x^3 - 9 in GF(10).
💡 Hint: Check for roots directly in the polynomial.
Challenge and get performance evaluation