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2007 AMC 12A Question 21

AMC12 · 2007 AMC 12A

Question 21

The sum of the zeros, the product of the zeros, and the sum of the coefficients of the function $f(x)=ax^2+bx+c$ are equal. Their common value must also be which of the following?
  1. the coefficient of $x^2$
  2. the coefficient of $x$
  3. the $y$-intercept of the graph of $y=f(x)$
  4. one of the $x$-intercepts of the graph of $y=f(x)$
  5. the mean of the $x$-intercepts of the graph of
    $y=f(x)$