Practice - Standard, Factored, and Vertex Forms
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
Write the cubic function in standard form: f(x) = (x - 1)(x + 2)(x - 3).
💡 Hint: Expand the factors step-by-step.
Identify the roots of: f(x) = 3(x - 2)(x + 1)(x + 4).
💡 Hint: Set each factor equal to zero.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the standard form of a cubic function?
💡 Hint: Remember the general polynomial form.
True or False: The factored form of a cubic function makes it easier to find its roots.
💡 Hint: Think about how roots are identified in each form.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A cubic function has roots at x = -2, x = 1, and x = 3. Write its factored form and find the standard form.
💡 Hint: Expand every factor systematically.
Given f(x) = 2x³ + 3x² - 8x - 12, determine its turning points without solving for roots, then sketch the graph.
💡 Hint: Numerically analyze coefficients before graphing.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.