Practice - Factor Theorem
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Practice Questions
Test your understanding with targeted questions
If P(2) = 0 for the polynomial P(x) = x^2 - 5x + 6, what can you conclude?
💡 Hint: Identify the root and apply the Factor Theorem.
For the polynomial P(x) = x - 3, what is the factor when P(3) = 0?
💡 Hint: Look for the value of the root.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Factor Theorem state?
💡 Hint: Remember the condition of the polynomial when equal to zero.
True or False: If x = 3 is a root of P(x), then (x - 3) cannot be a factor.
💡 Hint: Recall the definition from the Factor Theorem.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given P(x) = x^4 - 4x^2 + 4, determine the complete factorization using the Factor Theorem and confirm the factors via computation.
💡 Hint: Apply the Factor Theorem and explore common patterns.
For the polynomial P(x) = x^5 - 4x^4 + 6x^3 - 24x^2, find all real factors, utilizing the Factor Theorem effectively.
💡 Hint: Consider grouping for suggested simplifications.
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