information is given about a polynomial f(x) whose coefficients are real numbers. Find the renaming zeros of f. Degree 5; zeros: -1, i, 5i

Enter the remaining zeros of f.

Question

information is given about a polynomial f(x) whose coefficients are real numbers. Find the renaming zeros of f. Degree 5; zeros: -1, i, 5i

Enter the remaining zeros of f.

mathstudent55 · Answer

A polynomial of n degree has n zeros. Also, if the coefficients are real, then complex zeros come in conjugate pairs.
Since i is a zero then -i is a zero (i and -i are conjugate pairs)
Since 5i is a zero, then -5i is a zero (5i and -5i are conjugate pairs

anonymous · Answer

so, -i, 5i, -5i

mathstudent55 · Answer

5i was already given so the remaining ones are only -i and -5i

mathstudent55 · Answer

Since it's a polynomial of degree 5 it has 5 zeros. You were given three and there were two more that we found

anonymous · Answer

ok, thanks for explaining.