21.2.1 - Possibilities of Factors
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Practice Questions
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What is a root of a polynomial?
💡 Hint: Look for where f(x) = 0.
What is the degree of the polynomial 3x^4 - 2x^2 + 7?
💡 Hint: Identify the highest power of x in the polynomial.
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Interactive Quizzes
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What does a polynomial root signify?
💡 Hint: Recall the relationship defined by the factor theorem.
True or false: A polynomial of degree n can have more than n roots.
💡 Hint: Think about the relationship between degree and factors.
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Challenge Problems
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Given the polynomial f(x) = x^5 - 32, find its roots and confirm how many roots it has.
💡 Hint: Use the rational root theorem for finding potential roots.
Demonstrate how to factor the polynomial x^6 + 1 and identify its irreducible factors.
💡 Hint: Look for patterns or known factorizations.
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