Practice Polynomials and their Properties - 2.3.1 | 2. Algebra | ICSE 12 Mathematics
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Polynomials and their Properties

2.3.1 - Polynomials and their Properties

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a polynomial?

💡 Hint: Think about its structure and components.

Question 2 Easy

Identify the degree of the polynomial 3x^2 + 5x - 7.

💡 Hint: Look for the highest power of x.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the degree of the polynomial 5x^4 + 3x^2?

2
3
4

💡 Hint: Look for the highest power term.

Question 2

True or False: The remainder of dividing a polynomial by x - c is always c.

True
False

💡 Hint: Recall the definition of the Remainder Theorem.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given P(x) = 2x^4 + 3x^3 - x - 6, find the zeros by trying rational roots.

💡 Hint: Use the Rational Root Theorem to identify possible candidates.

Challenge 2 Hard

Factor the polynomial P(x) = x^3 - 6x^2 + 11x - 6 completely.

💡 Hint: Look for possible rational roots and apply synthetic division.

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