Practice - Finding Roots of Cubic Equations
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Practice Questions
Test your understanding with targeted questions
List the possible rational roots for f(x) = x^3 - 2x^2 - 5x + 6.
💡 Hint: Use the factors of the constant and leading coefficients.
What is the formula for quadratic equations?
💡 Hint: Recall from your lessons about quadratics.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What theorem helps find possible rational roots of a cubic function?
💡 Hint: It has 'Rational' and 'Root' in its name!
Synthetic division is used to:
💡 Hint: Think of it as a quicker way to divide.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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!
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!
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