SOLUTION: Factor the polynomial completely. {{{Q(x) = x^2 + 4x + 5}}} 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. {{{Q(x) = x^2 + 4x + 5}}} Find all its zeros. State the multiplicity of each zero. (If an answer does not exist, enter DNE.) real zero x      Log On


   

Question 855707: Factor the polynomial completely.
Q%28x%29+=+x%5E2+%2B+4x+%2B+5
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 josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Only two complex zeros. Discriminant is 4%2A4-4%2A5=-4, indicating the zeros are complex and NOT real zeros.

Zeros are %28-4%2B-+2i%29%2F2 using general solution for a quadratic equation;
highlight%28-2-i%29 and highlight%28-2%2Bi%29.