Question

which function below, if either, has zeros that are complex conjugates?
P(x)= X^4-7x^3-27x^2+63x+81
H(x)=x^3-x^2+25x-25

Answer 1

H(x) = x^2(x-1) + 25(x-1)
= (x-1)(x^2 + 25)

for zeros,
(x-1)(x^2 + 25) = 0
x = 1, or x = ±5i

±5i are complex conjugates

Off hand, I can't see any for the first one.

Answer 2

what do you mean

Answer 3

complex conjugates are numbers of the form
a+bi and a-bi

±5i can be written as
0+5i and 0-5i, which fits the above form.