2.4 - Factorisation of Polynomials
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
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).
What are the roots of the polynomial x² - 4?
💡 Hint: Factor it as (x - 2)(x + 2) and find the roots.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Factor Theorem state?
💡 Hint: Think about the definitions we covered.
True or False: A zero of the zero polynomial is undefined.
💡 Hint: Recall the discussion on the zero polynomial.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Using the cubic polynomial p(x) = x³ - 7x² + 14x - 8, find all factors.
💡 Hint: Find one root first.
Determine the value of k so that x + 3 is a factor of 2x³ + kx² - 5x + 6.
💡 Hint: Use synthetic division after substituting -3.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.