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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
List the possible rational roots for f(x) = x^3 - 2x^2 - 5x + 6.
💡 Hint: Use the factors of the constant and leading coefficients.
Question 2
Easy
What is the formula for quadratic equations?
💡 Hint: Recall from your lessons about quadratics.
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 theorem helps find possible rational roots of a cubic function?
- Fundamental Theorem
- Rational Root Theorem
- Cubic Factorization
💡 Hint: It has 'Rational' and 'Root' in its name!
Question 2
Synthetic division is used to:
- True
- False
💡 Hint: Think of it as a quicker way to divide.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that x = 3 is a root for the cubic equation 4x^3 - 6x^2 + 2x - 12 by using synthetic division.
💡 Hint: Set it up carefully!
Question 2
Find all roots of the cubic function 2x^3 + 3x^2 - 13x - 6 = 0. Show every step using synthetic division and the quadratic formula.
💡 Hint: Find that rational root first!
Challenge and get performance evaluation