Question

A polynomial has one root that equals 5 -7i. Name one other root of this poynomial.

Answer 1

Answer:

5+7i

Step-by-step explanation:

Answer 2

Answer:

(5 + 7i)

Step-by-step explanation:

recall that the complex conjugate root theorem states that for a polynomial with real coefficients and with a complex root a + bi, then the other root must be the complex conjugate a - bi

in our case we are given that the polynomial (which we will assume to have real coefficients) has a complex root (5 - 7i)

if we compare this with our explaination above, we can see that a = 5 and b = -7.

hence the other root must be the complex conjugate of (5 - 7i) which is (5 + 7i)