Download presentation

Published byMargaret Wood Modified over 7 years ago

1
**1.3(M2) Warm Up (8 + 4i) – (9 – 2i) (-2 – i) + (-6 – 3i)**

2
**Daily Assessment 6 – (-3 + 8i) + 5i (8 + 11i) + (25 + 28i)**

3
**1.3 Multiply and Divide Complex Numbers**

4
Vocabulary To multiply two complex numbers, use the distributive property or the FOIL method just as you do when multiplying algebraic expressions. Remember that i=√-1 so i²=-1 Two complex numbers of the form a + bi and a – bi are called complex conjugates. The product of complex conjugates is always a real number.

5
Examples 1. 6i(-3–7i) 2. (2+4i)(2-6i)

6
Try these . . . 6i(2 – 4i) (6 – 3i)(2 + 5i) (3 – 8i)²

7
**To Divide Complex Numbers:**

Rationalize the denominator by multiplying by the conjugate. Examples:

8
EXAMPLE 5 Divide complex numbers Write the quotient in standard form. 7 + 5i 1 4i

9
**Write the expression as a complex number in standard form.**

5 1 + i d. i(9 – i) e. (3 + i)(5 – i) g. 5 + 2i f. 3 – 2i

10
Try these . . .

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google