SOLUTION: Hi! Factor the polynomial completely. P (x) = x^6 + 2x^3 + 1 Find all zeros and state the multiplicity of each zero. thanks!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi! Factor the polynomial completely. P (x) = x^6 + 2x^3 + 1 Find all zeros and state the multiplicity of each zero. thanks!      Log On


   

Question 199847: Hi!
Factor the polynomial completely.
P (x) = x^6 + 2x^3 + 1
Find all zeros and state the multiplicity of each zero.
thanks!
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
P(x) = x^6 +2x^3 +1
.
let n= x^3
.
P(x) = n^2 +2n +1
.
P(x) = (n+1)(n+1)
.
subst back
.
P(x) = (x^3 +1)(x^3+1)
.