Factor the polynomial completely. P(x) = x2 + 9.

Question

Factor the polynomial completely.

P(x) = x² + 9

P(x) =

Find all its zeros. State the multiplicity of each zero. (Order your answers from smallest to largest real, followed by complex answers ordered smallest to largest real part, then smallest to largest imaginary part.)

x	=			with multiplicity
x	=			with multiplicity

Answer 1

P(x) = ( x + 3 i ) (x - 3 i )

So, no real roots , but two complex roots at + 3 i and - 3 i