21.1 - Definition of Roots
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Practice Questions
Test your understanding with targeted questions
Define what a root of a polynomial is.
💡 Hint: Think about where the polynomial crosses the x-axis.
What is the maximum number of roots a polynomial of degree 3 can have?
💡 Hint: Consider the degree definition.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a root of a polynomial?
💡 Hint: Think about where the polynomial touches the x-axis.
True or False: The degree of a polynomial limits the number of roots it can have.
💡 Hint: Recall definitions surrounding polynomial properties.
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Challenge Problems
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Prove that a quadratic polynomial can have at most 2 roots.
💡 Hint: Consider the nature of square roots.
Factor the polynomial f(x) = x^3 - 3x^2 + 4x - 12 completely.
💡 Hint: Start with possible rational roots and use synthetic division.
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