Question

The complex number 5+2i is a zero of a rational function. The graph of the function also has local maxima at (-1,0),(2,0) and (8,0). What is the least possible degree of the function

Answer 1

for a graph to have three local maxima

if you notice that graphs maxima and minima are 1 less that its degree

x²  has one turn or minima, it looks like ∪

x^ 3 has 2 turns

so to have three maxima its likely a x^4 or 4 degree equation