Practice Summary - 2.4 | 2. Algebra | ICSE 12 Mathematics | Allrounder.ai
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Summary

2.4 - Summary

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

Prove that the expression a² + b² cannot be factored into real factors unless a = 0 or b = 0.

💡 Hint: Analyze the properties of squares.

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