Find all the possible roots of:?

Question

x^5 + X^4 + x^3 + x + 1

pls help... tnx God bless..

Answer 1

note that the possible rational roots for this one are only 1 or -1.

and none of them are roots.

thus we have irrational and/or complex roots.

we can then use Newton's Method to find the root.. . .

x = -0.7124526

and it also shows by graphing that this is the only real root.

the other roots are:

-0.7234964 ± 1.032824 i

0.5797227 ± 0.7393203 i