Question

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

Degree 4; zeros: i, 14+i

what are the remaining zeros of f

Answer 1

for polynomial with degree 4 there will be totally 4 zeros. Now you are given two zeros that are complex. Both zeros are different.

For polynomials with real coefficients if a+ib (Complex No.) is a zero then a-ib (its conjugate) is also a zero.

So if 'i' is a zero then '-i' is a zero too.
Similarly if '14 + i' is a zero then its conjugate '14-i' is also a zero.

Answer 2

So the zeros are\[i, -i, 14+i, 14-i\]

Answer 3

wow that seem easy now that it was sexplained

Answer 4

when entering the reaming zero it would just be -i and 14-i right

Answer 5

yes

Answer 6

okay thank you!