Question

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

Answer 1

Answer:

The other root of the polynomial is 5+7i.

Step-by-step explanation:

According to the complex conjugate root theorem, if a complex number is a root of a polynomial, then its conjugate is also a root of that polynomial.

It means, if a+ib is a complex root of a polynomial, then its conjugate a-ib is also the root of that polynomial.

It is given that the a polynomial has one root that equals 5-7i.

To find the conjugate of a complex number the sign of imaginary part is changed.

The conjugate of 5-7i is 5+7i.

A polynomial has one root that equals 5-7i, using complex conjugate root theorem 5+7i is the other root of this polynomial.

Answer 2

Answer:

The other root is 5 + 7i.