Posted by **cole** on Tuesday, April 27, 2010 at 9:04pm.

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

- algebra two -
**Reiny**, Tuesday, April 27, 2010 at 9:53pm
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.

- algebra two -
**cole**, Tuesday, April 27, 2010 at 9:57pm
what do you mean

- algebra two -
**Reiny**, Tuesday, April 27, 2010 at 10:59pm
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.

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