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Write a polynomial of least degree with roots 6-6 and 2-2.\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 6-6 and 2-2.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.
  1. Identify root 6-6 factor: The factor for the root 6-6 is (x(6))(x - (-6)) which simplifies to (x+6)(x + 6).
  2. Identify root 2-2 factor: The factor for the root 2-2 is (x(2))(x - (-2)) which simplifies to (x+2)(x + 2).
  3. Multiply factors: Now, we multiply the factors (x+6)(x + 6) and (x+2)(x + 2) to get the polynomial.(x+6)(x+2)=x2+2x+6x+12(x + 6)(x + 2) = x^2 + 2x + 6x + 12
  4. Combine like terms: Combine like terms to get the polynomial in standard form.\newlinex2+2x+6x+12=x2+8x+12x^2 + 2x + 6x + 12 = x^2 + 8x + 12

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