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Write a quadratic function with zeros 88 and −5-5.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlinef(x)=f(x) = ______

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Q. Write a quadratic function with zeros 88 and −5-5.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlinef(x)=f(x) = ______
  1. Identify Zeros: Zeros are 88 and −5-5, so factors are (x−8)(x - 8) and (x+5)(x + 5).
  2. Factorize: f(x)=(x−8)(x+5)f(x) = (x - 8)(x + 5), cuz we multiply the factors together.
  3. Expand and Simplify: f(x)=x(x+5)−8(x+5)f(x) = x(x + 5) - 8(x + 5), we distribute −8-8 across (x+5)(x + 5).
  4. Combine Like Terms: f(x)=x2+5x−8x−40f(x) = x^2 + 5x - 8x - 40, now we combine like terms.
  5. Standard Form: f(x)=x2−3x−40f(x) = x^2 - 3x - 40, and that's the standard form.

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