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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Identify the degree of the polynomial 3x^4 + 2x^2 - x + 5.
💡 Hint: Look for the highest power of x.
Question 2
Easy
What is the zero of the polynomial P(x) = x^2 - 9?
💡 Hint: Factor the polynomial to find the zeros.
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 type of expression is a polynomial?
- Only integers
- Only variables
- Combination of variables and constants
💡 Hint: Think about what makes up a polynomial form.
Question 2
True or False: The Remainder Theorem applies only to quadratic polynomials.
- True
- False
💡 Hint: Consider the theorem's broader applicability.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given P(x) = x^4 + 5x^3 + 8x^2 + 10, find the roots using any method.
💡 Hint: Start by testing rational roots from the constant term.
Question 2
Prove that the expression a² + b² cannot be factored into real factors unless a = 0 or b = 0.
💡 Hint: Analyze the properties of squares.
Challenge and get performance evaluation