Factor the polynomial completely. Find all it’s zeros. State the multiplicity of each zero.

Question

Q(x)= x²+2x+5

Answer 1

Find the zeros of Q using quadratic formula

x=(-b +/- √(b²-4*a*c))/2*a

x=(-2 +/- √(4-20))/2

x=(-2 +/- √(-16))/2

x=(-2 +/- 4*i)/2

x=(-1+2i) or x=(-1-2i) where i is imaginary.

factoring gives (x-(-1+2i))*(x-(-1-2i)) I'll let you simplify and figure out the multiplicity

Answer 2

Q(x)= x²+2x+5

Q(x) = -1 ± √2i by the Quadratic Formula