SAT Math Practice Question
In the $x y$-plane, the graph of the polynomial function $f$ crosses the $x$-axis at exactly two points, $(a, 0)$ and $(b, 0)$, where $a$ and $b$ are both positive. Which of the following could define $f$ ?
- A.$f(x)=(x-a)(x-b)$
- B.$f(x)=(x+a)(x+b)$
- C.$f(x)=(x-a)(x+b)$
- D.$f(x)=x(x-a)(x-b)$
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