Practice - Remainder Theorem
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Practice Questions
Test your understanding with targeted questions
Calculate the remainder of P(x) = x^2 + 2x + 1 when divided by x - 1.
💡 Hint: Evaluate P(1).
What is the remainder of P(x) = 2x^2 - 3x - 5 when divided by x + 3?
💡 Hint: Evaluate P(-3).
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the Remainder Theorem?
💡 Hint: Remember the relationship between the polynomial and its evaluator.
If P(2) = 0, which statement is true?
💡 Hint: Think about what the Factor Theorem states.
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Challenge Problems
Push your limits with advanced challenges
For a polynomial P(x) = 2x^3 + 3x^2 - 12x + 5, find the remainder when divided by x - 4.
💡 Hint: Substitute a = 4 into the polynomial and calculate.
If P(x) = x^4 - 16 and we want to divide it by x - 2, what is the remainder?
💡 Hint: Evaluate P at x = 2.
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