Chapter 8.6, Problem 1OE

To determine

To explain: The other root(s) of the polynomial equation.

Answer to Problem 1OE

The other root is $2+3i$

Explanation of Solution

Given information:

One root is given as $2-3i$

Concept used:

Conjugate theorem,

If p is a polynomial in one variable with real coefficients, and $a+bi$ is a root of P with a and b real numbers, then its complex conjugate is $a-bi$ is also a root of P.

The other root(s) can be find as:

The other root must be $2+3i$ , the conjugate of $2-3i$

Therefore,

The other root is $2+3i$