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Write a polynomial of least degree with roots 66 and 6-6.\newlineWrite 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 66 and 6-6.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.
  1. Factor Root 66: Root 66 gives us the factor (x6)(x - 6).
  2. Factor Root 6-6: Root 6-6 gives us the factor (x+6)(x + 6).
  3. Multiply Factors: Now we multiply the factors: (x6)(x+6)(x - 6)(x + 6).
  4. FOIL Method: Using the FOIL method, we get: x2+6x6x36x^2 + 6x - 6x - 36.
  5. Simplify Expression: Simplify the expression: x236x^2 - 36.

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