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

20.4 - Factorization of Polynomials

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Check for common factors.

Challenge 2 Hard

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

💡 Hint: Use polynomial division to find common factors.

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Reference links

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