n=3 -2 and 2 +5i are zeros

Question

n=3 -2 and 2+5i are zeros

 

Answer 1

I assume you meant to ask for a polynomial of degree 3 with REAL COEFFICIENTS and zeros of -2 and 2 + 5i.  If a zero is complex, then its complex conjugate must also be a zero to ensure the coefficients are real.  The zeros are

 

-2

2 + 5i

2 - 5i

 

If the leading coefficient is 1, then

 

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

 

Multiply and simplify to get in standard form.  The coefficients will be real after you simplify.