# Math Help - Form a Polynomial given degree and zeros

1. ## Form a Polynomial given degree and zeros

Hello. Any help would be appreciated on showing me how to solve this problem.

Form a polynomial with real coefficients having a degree of 3 and zeros -5 and 1+i.

2. Originally Posted by osumatt
Hello. Any help would be appreciated on showing me how to solve this problem.

Form a polynomial with real coefficients having a degree of 3 and zeros -5 and 1+i.
Factors of the required polynomial are $(z + 5)$, $(z - [1 + i])$ and $(z - [1 + i])$. Note that $(z - [1 + i])(z - [1 - i]) = (z - 1)^2 + 1 = z^2 - 2z + 2$.