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Worked Example

Board-style short answer 5

For Class 9 Mathematics, explain or solve a zeroes of a polynomial question from the chapter "Polynomials". Focus on board-style short answer and show the working clearly.

Step-by-step solution path

  1. Read the topic idea: Zeroes of a Polynomial.
  2. Recall the core explanation from the chapter: Polynomial expressions, zeroes, remainder theorem, factor theorem and algebraic identities.
  3. Use the related formula "Cubic 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 Zeroes of a Polynomial. A strong solution should identify the correct data, apply Cubic Identities, and explain each transition instead of jumping directly to the answer.

Related formula

Cubic Identities
(a+b)³ = a³+3a²b+3ab²+b³ (a-b)³ = a³-3a²b+3ab²-b³ a³+b³ = (a+b)(a²-ab+b²) a³-b³ = (a-b)(a²+ab+b²)
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