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?

Use an inequality symbol to write each statement. 5 is greater than or equal to 5.

Identify the real and imaginary parts of each complex number.

$-4-9i$

Identify the real and imaginary parts of each complex number.

$3+2i\(\sqrt\)3$

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)