2.1 - Introduction
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Practice Questions
Test your understanding with targeted questions
Identify if the following expressions are polynomials: 4x² - 3x + 7, y² + 2, 3/2x^2 + 1.
💡 Hint: Check if the exponents are whole numbers.
What is the degree of the polynomial 5x² + 2x - 1?
💡 Hint: Look for the highest power of x.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a polynomial?
💡 Hint: Think about the structure of the expression.
The Remainder Theorem is used for which purpose?
💡 Hint: Recall what it helps us find when dividing by (x-a).
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Challenge Problems
Push your limits with advanced challenges
Find the roots of the polynomial p(x) = x³ - 6x² + 11x - 6 using the Factor Theorem.
💡 Hint: Try values like 1, 2, and 3 in p(x).
Prove that the polynomial x² + x + 1 is irreducible over the integers.
💡 Hint: Consider the discriminant b² - 4ac.
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Reference links
Supplementary resources to enhance your learning experience.