Question

For the polynomial F(x)= x^5-2x^4+8x^2-13x+6 answer the following:
a.) How many zeroes does the function have over the set of complex numbers?
b.) What is the maximum number of local extrema (maxima or minima) the graph of the function can have?
c.) List the possible rational zeroes of this function.
D. ) Factor this polynomail completely over the set of complex numbers.

Answer 1

@eliassaab can you help ?

Answer 2

@phi can you help?