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Write a polynomial of least degree with roots 1-1 and 6-6.\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 1-1 and 6-6.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______
  1. Identify root 1-1 factor: The factor for the root 1-1 is (x(1))(x - (-1)) which simplifies to (x+1)(x + 1).
  2. Identify root 6-6 factor: The factor for the root 6-6 is (x(6))(x - (-6)) which simplifies to (x+6)(x + 6).
  3. Multiply factors: Now we multiply the factors (x+1)(x + 1) and (x+6)(x + 6) to get the polynomial.(x+1)(x+6)=x2+6x+x+6(x + 1)(x + 6) = x^2 + 6x + x + 6
  4. Combine like terms: Combine like terms to write the polynomial in standard form.\newlinex2+6x+x+6=x2+7x+6x^2 + 6x + x + 6 = x^2 + 7x + 6

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