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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Write the factored form of f(x) = x³ - 6x² + 9x.
💡 Hint: Look for common factors first.
Question 2
Easy
Identify the roots of the function f(x) = x³ - 1.
💡 Hint: Consider possible factorization.
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 factored form of a cubic function?
💡 Hint: Recall the structure of polynomial factorization.
Question 2
The Rational Root Theorem suggests possible roots based on the factors of what?
- The constant term
- The leading coefficient
- Both
💡 Hint: Think about how each term contributes to finding roots.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given f(x) = x³ - 6x² + 11x - 6, find all roots and express the function in factored form.
💡 Hint: Use Rational Root Theorem and synthetic division.
Question 2
For the function f(x) = 2x³ - 9x² + 12x, find one root and factor the function completely.
💡 Hint: Find a rational root first then use factoring.
Challenge and get performance evaluation