0. Review of College Algebra

Suppose point A on the complex plane represents the complex number $3+4i$. Which of the following operations involving complex numbers results in a solution represented by point A?

In which quadrant is the complex number $6-8i$ located on the complex plane?

Identify the real and imaginary parts of each complex number.

$-4-9i$

Identify the real and imaginary parts of each complex number.

$3+2i\sqrt3$

Write the complex number in standard form.

$\frac{9+\sqrt{-16}}{3}$

Find the difference. Express your answer in standard form.

$\left(2+8i\right)-\left(4-i\right)$

Find the sum. Express your answer in standard form.

$5\left(4+7i\right)+6\left(3-2i\right)$

Perform the indicated operation. Express your answer in standard form.

$\left(3+8i\right)^2$

Find the product. Express your answer in standard form.

$2i\left(9-4i\right)\left(6+5i\right)$

Find the product of the given complex number and its conjugate.

$4-5i$

Find the product of the given complex number and its conjugate.

$-7-i$

Find the quotient. Express your answer in standard form.  

$\frac{6+i}{4-2i}$

Find the quotient. Express your answer in standard form. 

$\frac{-5+3i}{-7-4i}$

In Exercises 9–20, find each product and write the result in standard form.

(3 + 5i)(3 − 5i)

In Exercises 21–28, divide and express the result in standard form.

3 / 4+i