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Write a quadratic function with zeros −1-1 and 00.\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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Full solution

Q. Write a quadratic function with zeros −1-1 and 00.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlinef(x)=f(x) = ______
  1. Identify Zeroes: Zeroes are −1-1 and 00, so factors are (x+1)(x + 1) and xx.
  2. Factorize Expression: f(x)=1⋅(x+1)⋅xf(x) = 1 \cdot (x + 1) \cdot x.
  3. Expand Expression: f(x)=x(x+1)f(x) = x(x + 1).
  4. Simplify Expression: f(x)=x2+xf(x) = x^2 + x.
  5. Final Expression: f(x)=x2+x+0f(x) = x^2 + x + 0.

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