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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Write the cubic function in standard form: f(x) = (x - 1)(x + 2)(x - 3).
💡 Hint: Expand the factors step-by-step.
Question 2
Easy
Identify the roots of: f(x) = 3(x - 2)(x + 1)(x + 4).
💡 Hint: Set each factor equal to zero.
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 is the standard form of a cubic function?
- f(x) = ax³ + bx² + cx + d
- f(x) = a(x - r₁)(x - r₂)(x - r₃)
- f(x) = a(x - h)³ + k
💡 Hint: Remember the general polynomial form.
Question 2
True or False: The factored form of a cubic function makes it easier to find its roots.
- True
- False
💡 Hint: Think about how roots are identified in each form.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation