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The zeros of a rational function g are -4 and 3. Which of the following expressions could define g(x)?

The zeros of a rational function g are -4 and 3. Which of the following expressions could define g(x)?
A. \( \frac{(x-2)(x+5)}{(x-3)(x+4)} \)
B. \( \frac{(x-3)(x+4)}{(x-2)(x+5)} \)
C. \( \frac{(x-3)(x+4)}{(x-3)(x+5)} \)
D. \( \frac{(x-3)(x+5)}{(x-3)(x+4)} \)

Answer

Answer: To find the zeros of the function, the numerator must be zero. The zeros are -4 and 3, so the numerator must include the factors (x + 4) and (x - 3). Therefore, the correct expression is:

  1. B. \( \frac{(x-3)(x+4)}{(x-2)(x+5)} \)

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