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Worked Example

Reasoning practice 4

For Class 9 Mathematics, explain or solve a remainder theorem question from the chapter "Polynomials". Focus on reasoning practice and show the working clearly.

Step-by-step solution path

  1. Read the topic idea: Remainder Theorem.
  2. Recall the core explanation from the chapter: Polynomial expressions, zeroes, remainder theorem, factor theorem and algebraic identities.
  3. Use the related formula "Key Identities" as the main tool while solving.
  4. Write the reasoning in simple school-level language before the final answer.
Final learning answer
This example is centred on Remainder Theorem. A strong solution should identify the correct data, apply Key Identities, and explain each transition instead of jumping directly to the answer.

Related formula

Key Identities
(a+b)² = a²+2ab+b² (a-b)² = a²-2ab+b² (a+b)(a-b) = a²-b²
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