Math Help - Rational function

1. Rational function

The number 8 - 5i is a zero of multiplicity 4 of the polynomial function g(x), which has real coefficients. What is the minimum possible degree of g(x)?

2. Originally Posted by live_laugh_luv27
The number 8 - 5i is a zero of multiplicity 4 of the polynomial function g(x), which has real coefficients. What is the minimum possible degree of g(x)?
note that if 8 - 5i is a zero, then 8 + 5i is a zero (of the same multiplicity). so what do you think the answer is?

3. Originally Posted by Jhevon
note that if 8 - 5i is a zero, then 8 + 5i is a zero (of the same multiplicity). so what do you think the answer is?

4?

4. Originally Posted by live_laugh_luv27
4?
do you know what "zeros" mean?

the polynomial function has AT LEAST the following factors

$(x - (8 - 5i))^4(x - (8 + 5i))^4$

thus ...