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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 about where the polynomial crosses the x-axis.
Question 2
Easy
What is the maximum number of roots a polynomial of degree 3 can have?
💡 Hint: Consider the degree definition.
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?
- A value where f(x)=1
- A value where f(x)=0
- The highest degree term
💡 Hint: Think about where the polynomial touches the x-axis.
Question 2
True or False: The degree of a polynomial limits the number of roots it can have.
- True
- False
💡 Hint: Recall definitions surrounding polynomial properties.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that a quadratic polynomial can have at most 2 roots.
💡 Hint: Consider the nature of square roots.
Question 2
Factor the polynomial f(x) = x^3 - 3x^2 + 4x - 12 completely.
💡 Hint: Start with possible rational roots and use synthetic division.
Challenge and get performance evaluation