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6.6E: Mazoezi

Mazoezi hufanya kamili

Katika mazoezi yafuatayo, kugawanya kila polynomial na monomial.

Zoezi 1

45y+369

Zoezi la 2

30b+755

Jibu

6b+15

Zoezi la 3

8d24d2

Zoezi la 4

42x214x7

Jibu

6x22x

Zoezi 5

(16y220y)÷4y

Zoezi la 6

(55w210w)÷5w

Jibu

11w2

Zoezi la 7

(9n4+6n3)÷3n

Zoezi 8

(8x3+6x2)÷2x

Jibu

4x2+3x

Zoezi la 9

18y212y6

Zoezi 10

20b212b4

Jibu

5b2+3b

Zoezi 11

35a4+65a25

Zoezi 12

51m4+72m33

Jibu

17m424m3

Zoezi 13

310y4200y35y2

Zoezi 14

412z848z54z3

Jibu

103z512z2

Zoezi 15

46x3+38x22x2

Zoezi 16

51y4+42y23y2

Jibu

17y2+14

Zoezi 17

(24p233p)÷(3p)

Zoezi 18

(35x421x)÷(7x)

Jibu

5x3+3

Zoezi la 19

(63m442m3)÷(7m2)

Zoezi la 20

(48y424y3)÷(8y2)

Jibu

6y2+3y

Zoezi 21

(63a2b3+72ab4)÷(9ab)

Zoezi la 22

(45x3y4+60xy2)÷(5xy)

Jibu

9x2y3+12y

Zoezi 23

52p5q4+36p4q364p3q24p2q

Zoezi 24

49c2d270c3d335c2d47cd2

Jibu

7c10c2d5cd2

Zoezi 25

66x3y2110x2y344x4y311x2y2

Zoezi 26

72r5s2+132r4s396r3s512r2s2

Jibu

6r3+11r2s8rs3

Zoezi 27

4w2+2w52w

Zoezi 28

12q2+3q13q

Jibu

4q+113q

Zoezi 29

10x2+5x45x

Zoezi 30

20y2+12y14y

Jibu

5y3+14y

Zoezi 31

36p3+18p212p6p2

Zoezi 32

63a3108a2+99a9a2

Jibu

7a12+11a

Gawanya Polynomial na Binomial

Katika mazoezi yafuatayo, kugawanya kila polynomial na binomial.

Zoezi la 33

(y2+7y+12)÷(y+3)

Zoezi 34

(d2+8d+12)÷(d+2)

Jibu

d+6

Zoezi 35

(x23x10)÷(x+2)

Zoezi 36

(a22a35)÷(a+5)

Jibu

a7

Zoezi 37

(t212t+36)÷(t6)

Zoezi 38

(x214x+49)÷(x7)

Jibu

x7

Zoezi 39

(6m219m20)÷(m4)

Zoezi 40

(4x217x15)÷(x5)

Jibu

4x+3

Zoezi 41

(q2+2q+20)÷(q+6)

Zoezi 42

(p2+11p+16)÷(p+8)

Jibu

p+38p+8

Zoezi 43

(y23y15)÷(y8)

Zoezi 44

(x2+2x30)÷(x5)

Jibu

x+7+5x5

Zoezi 45

(3b3+b2+2)÷(b+1)

Zoezi 46

(2n310n+28)÷(n+3)

Jibu

2n26n+8+4n+3

Zoezi 47

(2y36y36)÷(y3)

Zoezi 48

(7q35q2)÷(q1)

Jibu

7q2+7q+2

Zoezi 49

(z3+1)÷(z+1)

Zoezi 50

(m3+1000)÷(m+10)

Jibu

m210m+100

Zoezi 51

(a3125)÷(a5)

Zoezi 52

(x3216)÷(x6)

Jibu

x2+6x+36

Zoezi 53

(64x327)÷(4x3)

Zoezi 54

(125y364)÷(5y4)

Jibu

25y2+20x+16

kila siku Math

Zoezi 55

Wastani wa gharama Picha Plus hutoa albamu za digital. Wastani wa gharama ya kampuni (kwa dola) kufanya albamu x hutolewa kwa kujieleza7x+500x

  1. Pata quotient kwa kugawa nambari na denominator.
  2. Gharama ya wastani (kwa dola) itakuwa kuzalisha albamu 20?
Zoezi 56

Handshakes Katika mkutano wa kampuni, kila mfanyakazi hupiga mikono na kila mfanyakazi mwingine. Idadi ya handshakes hutolewa kwa usemin2n2 nn inawakilisha idadi ya wafanyakazi. Je, kuna mikono ngapi ikiwa kuna wafanyakazi 10 kwenye mkutano?

Jibu

45

Mazoezi ya kuandika

Zoezi 57

James48y+6 anagawanyika kwa njia6 hii:48y+66=48y

Zoezi 58

Gawanya10x2+x122x na ueleze kwa maneno jinsi unavyopata kila neno la quotient.

Jibu

Majibu yatatofautiana.

Self Check

ⓐ Baada ya kukamilisha mazoezi, tumia orodha hii ili kutathmini ujuzi wako wa malengo ya sehemu hii.

Hii ni meza ambayo ina safu tatu na nguzo nne. Katika mstari wa kwanza, ambayo ni mstari wa kichwa, seli zinasoma kutoka kushoto kwenda kulia “Ninaweza...,” “Kwa ujasiri,” “Kwa msaada fulani,” na “Hakuna-Siipati!” Safu ya kwanza chini ya “Naweza...” inasoma “kugawanya polynomial na monomial,” na “ugawanye polynomial na binomial.” Wengine wa seli ni tupu.

ⓑ Baada ya kuchunguza orodha hii, utafanya nini ili uwe na ujasiri kwa malengo yote?