SOLUTION: What degree would a polynomial of lowest degree be with rational coefficients which has 2, 31/2 , and 2i as zeroes?

SOLUTION: What degree would a polynomial of lowest degree be with rational coefficients which has 2, 31/2 , and 2i as zeroes?

Algebra.Com

Question 625010: What degree would a polynomial of lowest degree be with rational coefficients which has 2, 31/2 , and 2i as zeroes?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Complex zeros come in conjugate pairs. So 2i is paired with -2i.

This means that the zeros are 2, 31/2, 2i, -2i.

Since there are 4 zeros, this means that the lowest degree is 4.
RELATED QUESTIONS
A polynomial of lowest degree with rational coefficients which has 2, 3^1/2, 2i and 3i as (answered by jim_thompson5910)

A polynomial of lowest degree with real coefficients which has 2, 3^1/2, and 2i as zeros... (answered by solver91311)

find a polynomial function of lowest degree with rational coefficients and the following... (answered by MathLover1)

suppose that a polynomial function of degree 5 with rational coefficients has 3, sq root... (answered by rapaljer)

Determine a polynomial function of lowest degree with rational coefficients that has the... (answered by tommyt3rd)

Find a polynomial function of lowest degree with integer coefficients that has the given... (answered by jsmallt9)

Please form a polynomial f(x) with real coefficients having the given degree and zeroes. (answered by josgarithmetic)

Find a polynomial of lowest degree with rational coefficients that has 3 and 4i as some... (answered by ikleyn)

Find a polynomial function of lowest degree with rational coefficients that has given... (answered by Fombitz)