Form a polynomial with real coefficients having the given degree and zeros.

Question

degree: 4

zeros: -5+2i

-2 multiplicity 2

f(x)=a(?)

Answer 1

a(x^2 +10x +29)(x+2)^2

= a(x^3 +22x^2 + 39x +58)(x+2)

= a(x^4 +24x^4 +85x^2 + 83x+ 116) where a = any real number except 0