Practice Detailed Explanation - 2.3 | 2. Algebra | ICSE Class 12 Mathematics
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Identify if the following is a polynomial: 4x^3 + 3x + 5.

💡 Hint: Look at the form and the powers of x.

Question 2

Easy

What is the degree of the polynomial 7x^4 - 2x^2 + x?

💡 Hint: Determine which of the terms has the largest exponent.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

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

  • 5
  • 4
  • 2

💡 Hint: Identify the term with the highest exponent.

Question 2

True or False: The remainder theorem applies to polynomials only.

  • True
  • False

💡 Hint: Think about what types of functions the theorem discusses.

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Challenge Problems

Push your limits with challenges.

Question 1

Find all roots of the polynomial P(x) = 2x^3 - 4x^2 - 8 using the Factor Theorem.

💡 Hint: Check rational roots and reduce step-wise.

Question 2

Solve the simultaneous equations 3x + 2y = 12 and 4x - y = 5.

💡 Hint: Substitution may lead to a simple linear equation.

Challenge and get performance evaluation