P has degree 2 and zeros 1 + i 6 and 1 − i 6 .

Answer 1

Not clear what i 6 is. It can't be Interstate Highway 6 because that number was never used. Otherwise, check your format, and use the answer technique supplied in your oither question. no need to submit multiple questions on the same subject matter, it decreases your chances of a response....

Answer 2

If c is a root of a polynomial function y = f(x), then x - c is a factor of f(x).

So, an a example of a polynomial of degree 2 with the given roots is:

(x - (1 + 6i))(x - (1 - 6i)) = [(x - 1) - 6i] [x - 1) + 6i] = (x - 1)² - (6i)² = x² - 2x + 1 + 36 = x² - 2x + 37