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Write a quadratic function with zeros −9-9 and −3-3.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlineg(x)=g(x) = ______

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Q. Write a quadratic function with zeros −9-9 and −3-3.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlineg(x)=g(x) = ______
  1. Identify Zeros: Identify the linear factors from the zeros −9-9 and −3-3, which are (x+9)(x + 9) and (x+3)(x + 3).
  2. Multiply Factors: Multiply the linear factors to get the quadratic function: g(x)=(x+9)(x+3)g(x) = (x + 9)(x + 3).
  3. Distribute Terms: Distribute the terms: g(x)=x(x+3)+9(x+3)g(x) = x(x + 3) + 9(x + 3).
  4. Multiply x Terms: Multiply xx with (x+3)(x + 3): x(x)+x(3)=x2+3xx(x) + x(3) = x^2 + 3x.
  5. Multiply 99 Terms: Multiply 99 with (x+3)(x + 3): 9(x)+9(3)=9x+279(x) + 9(3) = 9x + 27.
  6. Combine Like Terms: Combine like terms: g(x)=x2+3x+9x+27g(x) = x^2 + 3x + 9x + 27.
  7. Add xx Terms: Add the xx terms: g(x)=x2+12x+27g(x) = x^2 + 12x + 27.

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