Practice Possibilities of Factors - 21.2.1 | 21. Roots of a Polynomial | Discrete Mathematics - Vol 3
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Practice Questions

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Question 1

Easy

What is a root of a polynomial?

💡 Hint: Look for where f(x) = 0.

Question 2

Easy

What is the degree of the polynomial 3x^4 - 2x^2 + 7?

💡 Hint: Identify the highest power of x in the polynomial.

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 does a polynomial root signify?

  • It means the polynomial has been factored.
  • It is a value that makes the polynomial equal zero.
  • It refers to the degree of the polynomial.

💡 Hint: Recall the relationship defined by the factor theorem.

Question 2

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

  • True
  • False

💡 Hint: Think about the relationship between degree and factors.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the polynomial f(x) = x^5 - 32, find its roots and confirm how many roots it has.

💡 Hint: Use the rational root theorem for finding potential roots.

Question 2

Demonstrate how to factor the polynomial x^6 + 1 and identify its irreducible factors.

💡 Hint: Look for patterns or known factorizations.

Challenge and get performance evaluation