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Write a polynomial of least degree with roots 22 and 4-4.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______

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Q. Write a polynomial of least degree with roots 22 and 4-4.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______
  1. Find root linear factor: Find the linear factor for the root 22: (x2)(x - 2).
  2. Find root linear factor: Find the linear factor for the root 4-4: (x+4)(x + 4).
  3. Multiply factors: Multiply the factors to get the polynomial: (x2)(x+4)(x - 2)(x + 4).
  4. Perform multiplication: Perform the multiplication: x2+4x2x8x^2 + 4x - 2x - 8.
  5. Combine like terms: Combine like terms: x2+2x8x^2 + 2x - 8.

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