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

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Question 855707: Factor the polynomial completely.

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)   (Show Source): You can put this solution on YOUR website!
Only two complex zeros. Discriminant is , indicating the zeros are complex and NOT real zeros.

Zeros are using general solution for a quadratic equation;
and .

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