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Write a quadratic function with zeros −1-1 and 99.\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 −1-1 and 99.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlineg(x)=g(x) = ______
  1. Identify Zeros: Zeros are −1-1 and 99, so factors are (x+1)(x + 1) and (x−9)(x - 9).
  2. Factorize Zeros: Multiply the factors: g(x)=(x+1)(x−9)g(x) = (x + 1)(x - 9).
  3. Expand Factors: Distribute: g(x)=x(x−9)+1(x−9)g(x) = x(x - 9) + 1(x - 9).
  4. Perform Multiplication: Multiply: x(x)=x2x(x) = x^2, x(−9)=−9xx(-9) = -9x, 1(x)=x1(x) = x, 1(−9)=−91(-9) = -9.
  5. Combine Like Terms: Combine like terms: g(x)=x2−9x+x−9g(x) = x^2 - 9x + x - 9.
  6. Finalize Expression: Final form: g(x)=x2−8x−9g(x) = x^2 - 8x - 9.

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