Question

in light of the total number of complex roots for this function:

h(x)=4x^4-5x^3+2x^2-x+5

how many possible complex roots are there?

Answer 1

in light of the total number of roots**

Answer 2

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Answer 3

using D'moivres thm , you count the sign changes for f(x) and f(-x)
f(x) --> 4 sign changes ---> 0,2,4 possible positive roots
f(-x) --> 0 sign changes ---> 0 roots

roots must be either positive or complex and come in pairs
0,2,4 possible complex roots