21.2.3 - Solving the Equations
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Practice Questions
Test your understanding with targeted questions
What is a root of a polynomial?
💡 Hint: Think of the definition we started with.
What is the factor theorem?
💡 Hint: Recall how roots relate to factors.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the factor theorem state?
💡 Hint: Think about how roots relate to the factors of polynomials.
True or False: A polynomial of degree n can have n distinct roots.
💡 Hint: Recall the relationship between degree and roots.
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Challenge Problems
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Given the polynomial p(x) = 2x^3 - 4x^2 + 2x, find its roots and determine its irreducible components.
💡 Hint: Consider using factoring techniques or the quadratic formula.
Factor the polynomial q(x) = x^4 + x² + 1 over complex numbers.
💡 Hint: Look for patterns or potential quadratic factors.
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