0. Review of College Algebra

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

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

2+3i / 2+i

In Exercises 29–36, simplify and write the result in standard form.

√−196

In Exercises 29–36, simplify and write the result in standard form.

√3² − 4 ⋅ 2 ⋅ 5

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The set {0, 1, 2, 3, ...} describes the set of _________.

Use a number line to determine whether each statement is true or false. See Example 6. -6 < -1

Use a number line to determine whether each statement is true or false. -4 > -3

Use a number line to determine whether each statement is true or false. 3 > -2

Use a number line to determine whether each statement is true or false. -3 > -3

Rewrite each statement with > so that it uses < instead. Rewrite each statement with < so that it uses >. -5 > -100