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Unit 10+ Complex Numbers Lesson 32 Dividing Complex Numbers—The
Conjugate 773
NAME: PERIOD: DATE:
Homework Problem Set
Divide.
1. −1 22
ii
2. −+5 25 2
ii
3. +− −
3 22 3
ii
4. +1 22
ii
5. +−
5 25 2
ii
6. +−
3 23 2
ii
7. −4
1 2ii
8. −5
5 2ii
9. −6 3ii
Write each complex number below in two different ways. For
example, we could write 3 1 2i as (4 1 i) 2 (1 2 i) or ii99 66
331 or 11
22(6 1 4i).
10. 6 2 21i 11. 2 9 1 4i 12. 2 24 2 7i
ftp.equation.swsrhoonufdbesub
EEz o.Eir2sjE fY 2Bt3it4 i2
4 2Bi2 3i2or l 2ffffj.tt 2YD 2Fsi 3it4it2B 7f113
iLi 5t2i r3t2i
2 Y 2 D 25 101HOit4i2 3t2ir3t2iFst4i24G 25t o4 3 272 4,23442
i 2 2ftF 2lIZ tt4it avia iIj3 34
2 251 4 4 5121 21 2 1 24t7ior or or
43 7 7 3t3t2DZi 6Gti tior Ori 3 C2itDt4CHDi ti 50171
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774 Module 4 Quadratic Functions
Spiral REVIEW—Complex Numbers
Evaluate.
13. i2 14. i3 15. i4 16. i9 17. i14
Write the expression as a complex number in standard form.
18. (5 1 2i) 1 (3 2 2i) 19. 2 i(7 2 5i) 2 3(2 2 3i) 20. (2 2 1
4i) 1 (3 2 9i)
21. (2 2 1 4i) 2 (3 1 9i) 22. (5 2 2i) 2 2(3 1 i) 23. 3i(6 2
5i)
24. 4i
25. (2 1 3i)(1 2 4i) 26. (2 3 1 7i)(1 2 2i)
i i i I 2.4.24 iii at i Y iD
71 57 6 9 12it5i262itSED6
f
2 41 3 91 5 Li 6 Zi Ki ISR
1qigD
2 81 31 121.2 3t6it7i 14124 2 Si Dia 3 131 1412
2 Si 12ft 3T Bi HED2 51 12 3113111414 1lt
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Unit 10+ Complex Numbers Lesson 32 Dividing Complex Numbers—The
Conjugate 775
27. (3 2 2i)2 28. (2i)(1 2 4i)(1 1 i) 29.
30. (3i)(9i) 31. −23i
32. 3(2 1 4i)
33. 2i(3 1 5i) 34. (5 1 2i)(4 2 i) 35. (3 2 4i)2
36. (3 1 2i)(3 2 2i) 37. i(2 1 i) 38. (2 7i)(3i)
+5
2ii z
0i s3 2i 3 2i 2i 8,2 mi 4 Vitti iz
9 Gi 6it4i2 Li 8th 1E ED Digs9 l2it4ED it 8 Iti9 Qi 4
2it2i2t8t8i 112105 2it2tDt8t8i
610201
271227ft ei
6
641012 20 5it8i 2i2let 10ft 20 31 ZED2013.112i 22130
2iti2 21129 6 i4i zita 21Gt9 4Gt 19 14
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776 Module 4 Quadratic Functions
39. 40. (4 1 3i) 1 (5 2 2i) 41.
Simplify.
42. −121 43. −7 44. −98
−5
3 i− −−4 8
6i
s si
is
fate2tz
3
fi 521 Tg Ff 798i all i of i 7527
