21..2 - Example of a Polynomial Factorization
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Practice Questions
Test your understanding with targeted questions
Define what a root of a polynomial is.
💡 Hint: Think of simple polynomials and what values make them zero.
What does it mean for a polynomial to be monic?
💡 Hint: Look at the term with the highest degree.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a root of a polynomial?
💡 Hint: Consider simple examples of roots.
True or False: A degree n polynomial can have more than n roots.
💡 Hint: Think of the definition of polynomial degree.
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Challenge Problems
Push your limits with advanced challenges
Prove algebraically that a polynomial of degree 5 can have at most 5 roots.
💡 Hint: Use polynomial long division.
Given the polynomial x⁵ + x + 1, determine its irreducibility over the integers.
💡 Hint: Test possible rational roots derived from factors of the constant term.
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