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Write a polynomial of least degree with roots 33 and 99.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______

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Full solution

Q. Write a polynomial of least degree with roots 33 and 99.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______
  1. Find Linear Factor: Find the linear factor for the root 33; the factor is (x−3)(x - 3).
  2. Multiply Factors: Find the linear factor for the root 99; the factor is (x−9)(x - 9).
  3. Perform Multiplication: Multiply the factors to get the polynomial: (x−3)(x−9)(x - 3)(x - 9).
  4. Combine Like Terms: Perform the multiplication: x2−9x−3x+27x^2 - 9x - 3x + 27.
  5. Combine Like Terms: Perform the multiplication: x2−9x−3x+27x^2 - 9x - 3x + 27. Combine like terms: x2−12x+27x^2 - 12x + 27.

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