Find conjugates of complex numbers

The  exercise appears under the Algebra II Math Mission and Precalculus Math Mission. This exercise practices finding conjugates of complex numbers or plot it in the complex plane, given a complex number.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the complex conjugate ___ of ___: This problem has an equation with complex and imaginary numbers. The student is expected to find the conjugate of the equation.Find conjugates of complex numbers.PNG

Strategies
Knowledge of numerical operations and polynomial operations are encouraged to ensure success on this exercise.
 * 1) The complex conjugate of a complex number $$z=a+bi$$ is given by $$z=a-bi$$. This is equal to the original complex number, but with the sign of the imaginary part reversed. On the complex plane, it is the reflection of the original point across the real axis

Real-life Applications

 * 1) Complex numbers have applications as models in non-Euclidean geometries.
 * 2) Complex numbers are used to create fractal images.
 * 3) Complex numbers are a natural extension of the real numbers.