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Worked Example

Formula warm-up 3

For Class 9 Mathematics, explain or solve a remainder theorem question from the chapter "Polynomials". Focus on formula warm-up 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 "Special: a³+b³+c³" 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 Special: a³+b³+c³, and explain each transition instead of jumping directly to the answer.

Related formula

Special: a³+b³+c³
If a+b+c=0, then a³+b³+c³ = 3abc
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