Question

Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zero of f. Give the expression in the standard form a + bi.
Degree 5; zeros: 2, 3, 4, i

Answer 1

well if a + bi is a zero then a - bi is also a zero...

and since one of your zeros is i the other must be -i

Answer 2

just a thought...

Answer 3

Since it has real coefficients and \(x=i\) is a factor, so is its conjugate \(x=-i\).