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

Question

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

 

Enter the polynomial.

 

f(x)=a(.......)

Answer 1

The complex conjugate of a complex zero is also a zero, so you have 4 zeros:

-5 + 5i

-5 - 5i

-3 (twice)

f(x) = a [x - (-5 + 5i)] [x - (-5 - 5i)] (x + 3)²