Question

Find all zeros of the polynomial. P(x) = x^5 - 29x^3 - 58x^2 + x - 29.

Answer 1

this is written correctly? there are no rational roots to help simplify it

Answer 2

Right, it can be divided with synthetic division by 29

Answer 3

remainder won't be 0

Answer 4

then factored by (x^2+1)^2, bit it needs to be reduced further

Answer 5

as pax said, 29 isn't a zero

Answer 6

unless you made a typo

Answer 7

i reconstructed the original with your quotient, yes...i got that

Answer 8

x^5-29x^4+2x^3-58x^2+x-29

Answer 9

so x^2+1=0
x^2=-1
x= +/- i, i multiplicity 2, -i multiplicity 2, 29 are the zeros

Answer 10

awesome! thats what i got.