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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Is (x - 3) a factor of the polynomial p(x) = x² - 5x + 6? Show how you determined this.
💡 Hint: Use the Factor Theorem to evaluate p(3).
Question 2
Easy
What are the roots of the polynomial x² - 4?
💡 Hint: Factor it as (x - 2)(x + 2) and find the roots.
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 Factor Theorem state?
- If p(a) = 0
- then (x - a) is a factor.
- If (x - a) is a factor
- then p(a) = 0.
- Both A and B.
💡 Hint: Think about the definitions we covered.
Question 2
True or False: A zero of the zero polynomial is undefined.
- True
- False
💡 Hint: Recall the discussion on the zero polynomial.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using the cubic polynomial p(x) = x³ - 7x² + 14x - 8, find all factors.
💡 Hint: Find one root first.
Question 2
Determine the value of k so that x + 3 is a factor of 2x³ + kx² - 5x + 6.
💡 Hint: Use synthetic division after substituting -3.
Challenge and get performance evaluation