2.2 - Geometrical Meaning of the Zeroes of a Polynomial
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
What is the zero of the linear polynomial y = 3x - 9?
💡 Hint: Set the expression equal to zero.
For the polynomial y = x + 5, find its zero.
💡 Hint: Use the formula -b/a.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary definition of the zero of a polynomial?
💡 Hint: Think of where the graph meets the horizontal axis.
How many zeroes can a cubic polynomial have?
💡 Hint: Consider the maximum degree of a polynomial.
1 more question available
Challenge Problems
Push your limits with advanced challenges
For the polynomial y = 5x⁴ - 3x³ + 2x² - 1, describe how you would estimate the number of zeroes using a graph.
💡 Hint: The degree of the polynomial limits the maximum number of zero crossings.
Explore how changing coefficients in y = ax² + bx + c can affect the number of zeroes. Provide examples.
💡 Hint: Use the discriminant to classify the nature of the roots.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.