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

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

campbell_st · Answer

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

campbell_st · Answer

just a thought...

anonymous · Answer

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