SOLUTION: Factor the polynomial completely. P(x) = x3 + 25x Find all its zeros. State the multiplicity of each zero. (If an answer does not exist, enter DNE.) real zero x =

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the polynomial completely. P(x) = x3 + 25x Find all its zeros. State the multiplicity of each zero. (If an answer does not exist, enter DNE.) real zero x =       Log On


   

Question 890497: Factor the polynomial completely.
P(x) = x3 + 25x
Find all its zeros. State the multiplicity of each zero. (If an answer does not exist, enter DNE.)
real zero x =
with multiplicity
complex zero x =
(positive imaginary part) with multiplicity
complex zero x =
(negative imaginary part) with multiplicity

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28x%29+=+x%5E3+%2B+25x=x%28x%5E2%2B25%29
.
.
.
x%28x%5E2%2B25%29=0
Three solutions,
x=0 Multiplicity 1
and
x%5E2=-25
x=0+%2B-+5i Each with multiplicity of 1.