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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the remainder of P(x) = x^2 + 2x + 1 when divided by x - 1.
💡 Hint: Evaluate P(1).
Question 2
Easy
What is the remainder of P(x) = 2x^2 - 3x - 5 when divided by x + 3?
💡 Hint: Evaluate P(-3).
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the Remainder Theorem?
- The remainder of dividing any polynomial is zero
- The remainder when dividing P(x) by x-a is P(a)
- The divisor must be a polynomial of degree 2
💡 Hint: Remember the relationship between the polynomial and its evaluator.
Question 2
If P(2) = 0, which statement is true?
- True
- False
💡 Hint: Think about what the Factor Theorem states.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation