Question

suppose the r(x) is a polynomial of degree 13 whose coefficients are real numbers suppose that R(x) has the following zeros 2, -4, -4-i, 3i

Answer 1

Explanation:

Total number of zeroes will be 13.

It will have zeroes 2, -4, -4-1i , -4+i, 3i, -3i and 7 more.

The bolded zeroes are included because complex roots are always in conjugate pairs.

Of the remaining roots at least one will be real.

The total number of any complex roots will be even.