Practice Example of a Polynomial Factorization - 21..2 | 21. Roots of a Polynomial | Discrete Mathematics - Vol 3
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21..2 - Example of a Polynomial Factorization

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define what a root of a polynomial is.

💡 Hint: Think of simple polynomials and what values make them zero.

Question 2

Easy

What does it mean for a polynomial to be monic?

💡 Hint: Look at the term with the highest degree.

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 a root of a polynomial?

💡 Hint: Consider simple examples of roots.

Question 2

True or False: A degree n polynomial can have more than n roots.

  • True
  • False

💡 Hint: Think of the definition of polynomial degree.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove algebraically that a polynomial of degree 5 can have at most 5 roots.

💡 Hint: Use polynomial long division.

Question 2

Given the polynomial x⁵ + x + 1, determine its irreducibility over the integers.

💡 Hint: Test possible rational roots derived from factors of the constant term.

Challenge and get performance evaluation