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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a root of a polynomial?
💡 Hint: Remember the definition of a root.
Question 2
Easy
What is the degree of the polynomial f(x) = 3x⁵ + 2x⁴ - x + 7?
💡 Hint: Look for the term with the highest power.
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
How many roots can a polynomial of degree n have?
- n-1
- n
- n+1
💡 Hint: Consider the definition of degree.
Question 2
Is the statement 'A quadratic polynomial can have at most two linear factors' true or false?
- True
- False
💡 Hint: Think about the degree again.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider the polynomial f(x) = x⁵ - 5x³ + 4x. Factor it completely over the reals and identify its roots.
💡 Hint: Look for common factors first.
Question 2
Demonstrate that the polynomial f(x) = 2x⁴ + x³ - 4x² - 2x + 1 is irreducible over the rationals.
💡 Hint: Try picking potential rational roots to start.
Challenge and get performance evaluation