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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
List the possible rational roots for the polynomial \( f(x) = x^3 - 4x^2 + 4x - 1 \).
💡 Hint: Use the factors of -1 divided by the factors of 1.
Question 2
Easy
Identify the factors of 3.
💡 Hint: Consider numbers that can multiply to give 3.
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 the Rational Root Theorem help you determine?
- The degree of the polynomial
- Possible rational roots
- Complex roots
- End behavior of graphs
💡 Hint: Think about what we can find using factors.
Question 2
True or False: The Rational Root Theorem can only find integer roots.
- True
- False
💡 Hint: Consider the structure of rational numbers.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
For the cubic polynomial \( f(x) = 5x^3 - 4x^2 + 3x - 2 \), find all possible rational roots, and confirm any that work using synthetic division.
💡 Hint: Factorize -2 and 5 for potential roots.
Question 2
Using the Rational Root Theorem, find possible rational roots for \( f(x) = 6x^3 + x^2 - 8x - 4 \), and explain how to confirm them.
💡 Hint: Focus on factors of 4 and 6.
Challenge and get performance evaluation