form a polynomial f(x) with real coefficients having the given degree and zeros.

Question

Degree 4; zeros:-3 +5i; 2 multiplicity 2

enter the polynomial f(x)=a(?)

Answer 1

since complex roots come in pairs, you have
(x-(-3+5i))(x-(-3-5i))(x-2)^2
((x+3)+5i)((x+3)-5i)(x-2)^2
(x^2 + 6x + 34)(x^2 - 4x + 4)
x^4 + 2x^3 + 14x^2 - 112x + 136

Answer 2

degree 4
zeros 3-5i
-5 multiplicity 2
enter the polynomial f(x)=a()