Information is given about a polynomial fx whose coefficient

Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 6; zeros: -4, -6 + i, -4 -i, -3 Enter the remaining zeros of f. (Use a comma to separate answers as needed.)

Solution

since f(x) is polynomial having real coefficient, its complex root will occur in pair. so other roots are -6 -i which is complex conjugate of -6+i and -4+i which is complex conjugate of -4-i .

Hence remaining roots are -6-i &-4+i