Practice Factorization of Polynomials - 20.4 | 20. Polynomials Over Fields and Properties | Discrete Mathematics - Vol 3
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Typing
Memory
Math
English Adventures
Knowledge

20.4 - Factorization of Polynomials

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a polynomial.

💡 Hint: Think about its general form.

Question 2

Easy

What does it mean for a polynomial to be irreducible?

💡 Hint: Consider what factoring entails.

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 defines an irreducible polynomial?

  • It cannot be factored at all.
  • It can be factored but not into linear factors.
  • It cannot be factored into non-constant polynomials.

💡 Hint: Consider what 'factoring' means.

Question 2

Is the GCD of two polynomials always unique?

  • True
  • False

💡 Hint: Think about how polynomials can be expressed differently.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Determine if the polynomial 3x^3 + 6x^2 + 3x is reducible or irreducible.

💡 Hint: Check for common factors.

Question 2

Calculate the GCD of 4x^4 + 8x^2 and 2x^2.

💡 Hint: Use polynomial division to find common factors.

Challenge and get performance evaluation