Question

How do I find all the zeros (real & complex) of a polynomial?
Ex. P(x)= x^2+ 25

Answer 1

Set P(x) to zero and solve.
For example

\[G(x) = x^2 +100\]
\[x^2=-100\]
\[x=\pm \sqrt{-100}\]


\[x=\pm \sqrt{100}\sqrt{-1}\]

\[x=\pm 10i\]

Answer 2

How'd you get 100?

Answer 3

That was an example problem. The mods have made it clear that helpers can't do the problems for the helpees, so the best I can do (unless they tell me that this is too much help too) is a similar problem to yours that shows all the steps.

It is an example problem with the same steps, just different numbers.

Answer 4

Ok thx