Select a possible formula for the polynomial f(x), given that f(x) has degree three, f(-1) = f(3) = f(5) = 0, and

Question

Select a possible formula for the polynomial f(x), given that f(x) has degree three, f(-1) = f(3) = f(5) = 0, and limz⇒∞f(x) = -∞.
A. -(x + 1)(x - 3)(x - 5)
B. -(x + 1)2(x - 3)(x - 5)
C. (x + 1)(x+3)(x - 5)
D. -(x + 1)(x + 5)(x+3)

Is there more than one possible solution?
A. No, because there is only one function that meets all of the requirements.
B. Yes, because the leading coefficient could be any negative number.
C. Yes, because there could be different multiplicities for the roots.
D. No, because we know the three roots and it is a degree three polynomial.

Kunduz · Accepted Answer

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