Question

write a polynomial with real coefficients that has 5, and 3-i as zeros

Answer 1

These are given zeros: 5 and 3 - i

Also, if 3 - i is a zero, then its conjugate 3 + i is a zero.

Answer 2

5, 3 - i, and 3 + i are zeros.

So, the factors are:

(x - 5) * [ x - (3 - i)] * [ x - (3 + i)]

The task is to multiply all 3 of those together to find the polynomial. @lajessica.