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Write a polynomial of least degree with roots 55 and 66.\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 55 and 66.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______
  1. Find root factor: Find the factor for the root 55: (x5)(x - 5).
  2. Multiply factors: Find the factor for the root 66: (x6)(x - 6).
  3. Combine like terms: Multiply the factors to get the polynomial: (x5)(x6)=x26x5x+30(x - 5)(x - 6) = x^2 - 6x - 5x + 30.
  4. Combine like terms: Multiply the factors to get the polynomial: x - 5)(x - 6) = x^2 - 6x - 5x + 30\.Combine like terms: \$x^2 - 11x + 30.

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