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Write a polynomial of least degree with roots 44 and 55. Write your answer using the variable xx and in standard form with a leading coefficient of 11.

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Q. Write a polynomial of least degree with roots 44 and 55. Write your answer using the variable xx and in standard form with a leading coefficient of 11.
  1. Identify factor for root 44: Identify the factor corresponding to the root 44: (x4)(x - 4).
  2. Identify factor for root 55: Identify the factor corresponding to the root 55: (x5)(x - 5).
  3. Multiply factors to form polynomial: Multiply the factors to form the polynomial: (x4)(x5)=x25x4x+20=x29x+20(x - 4)(x - 5) = x^2 - 5x - 4x + 20 = x^2 - 9x + 20.

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