Information is given about a polynomial f(x) whose coefficients are real numbers. What is the remaining zeros of f.

Question

Degree 6; zeros: 7, -5+i, -9-i, -1

Answer 1

The degree of function = 6

A sixth degree polynomial has 6 zeros.

The given real zeros are 7 , -1 and complex zeros are - 5 + i , - 9 - i.

If the polynomial function with real coefficients and complex roots must come in conjugate pairs.

Therfore other two zeros of f are - 5 - i and - 9 + i.