The graph of a rational function has local maxima at (-1,0) and (8,0). the complex number 2+3i is a zero of the function. what is the least possible degree of this function? (answer choices included)

a. 3
b. 4
c. 5
d. 6

Any polynomial's graph cannot have two simultaneous maxima, so they must contain a minima between them. Thus, the total number of turning points of the graph is 3. Generally, when plotting a polynomial, the number of turning points is:
n = d -1; where d is the degree of the polynomial and n is the number of turning points. Thus, this function's degree must be at least 4. The answer is b.

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