.- .

130

(1) x vax , .

. . 3 2 712 , ,05

x x x x .

x .

. . 05155 x== 3x

13 3xx

= 1 .

(2) x : 1

1 1 0( ) ...v vv vP x a x a x a x a= + + + + 011 ,,...,, , x

: 11 1 0, ,..., ,v v

v va x a x a x a

: 1 1 0, ,..., ,v va a a a

: 0a

: 1

1

0

00

( )0

v

v

a

a

P x ca

a c

= = =

= =

,

.

: 1

1

0

00

( ) 000

v

v

a

a

P xa

a

= = =

= =

. . 3 2( ) 5 2 3P x x x x= + , 3( ) 3 2 1Q x x x= + x , 1( ) 3 5 2f x xx

= + x .

. . 3 4 5( ) 2 7 3 1P x x x x x= + + + 5 4 3 2( ) 3 2 0 7 1P x x x x x x = + + + +

.- .

131

(3) : x . . . 3 2( ) 5 2 7P x x x= + 3 .

( )P x c= 01 xccc ==

( ) 0P x = 0 20 0 0 ... 0 vx x x= = = =

(4) ( )P x x = ( )P . x .

. . 2( ) 5 3 1P x x x= + 2x = 2(2) 5 2 3 2 1 15P = + =

(5) ( x = ( )P x ) ( ( ) 0)P = . . 3 2( ) 3 2 5 10P x x x x= + +

1x = ( )P x 3 2(1) 3 1 2 1 5 1 10 0P = + + =

(6) 11 1 0( ) ...v vv vP x a x a x a x a= + + + +

11 1 0( ) ...v vv vQ x x x x = + + + +

1 1

0 0

( ) ( )v va

P x Q xa

a

= = = =

i). ii). .

(7)

- .

:

1. ,

.

2.

.

.- .

132

1. 2)4()2()4()( 22233 +++= xxxxP . )(xP .

2)4()2()4()( 22233 +++= xxxxP :

A. 043 0)4( 2 0)2)(2( + 0 02

02 + 0 2 2 3x . , )(xP 3.

B. 043 = 0= 2= 2= )(xP :

0= , )(xP : 2400)( 23 ++= xxxxP 1. 2= , )(xP : 0000)( 23 +++= xxxxP

, .

2= , )(xP : 4080)( 23 ++= xxxxP 2.

2. 83)2()4()( 22232 +++= xxxxP 22 2)23()( ++= xxxQ . .

83)2()4()( 22232 +++= xxxxP 22 2)23()( ++= xxxQ , :

=+= 08283 22 2= 4=

=== 0)2(022 22 0= 2= =+=+ 02232 22 1= 2=

= 042 2= 2=

, 2= .

.- .

133

3. 32)()()( 2223 +++= xxxP . )(xP

i). ii). iii).

i). 32)()()( 2223 +++= xxxP x . , :

03 = 02 =+

0)1( 2 = 0)1( =+ 0)1)(1( =+ 0)1( =+

0= 1= 1= 0= 1=

0= 1=

ii). 32)()()( 2223 +++= xxxP , . ,

03 = 0= 1= 1=

02 =+ 0= 1=

0322 = 1= 3=

1=

iii). 32)()()( 2223 +++= xxxP , :

03 = 0= 1= 1=

02 =+ 0= 1=

0322 1 3

0= .

4. 652)( 23 += xxxxP .

.- .

134

i). )(xP 3=x ii). 2 ,1 ,1 )(xP

i). 652)( 23 += xxxxP 3=x x -3.

24615182761592276)3(5)3(2)3()3( 23 =++=++=+=P ii).

. :

06521615121)1( 23 =+=+=P 1 )(xP 0865216)1(5)1(2)1()1( 23 =++=+=P -1

)(xP . 0610886)2(5)2(2)2()2( 23 =++=+=P -2

)(xP ..

5. 3)3()1()( 23 ++= xxxxP . , )(xP 2 1=x 6.

3)3()1()( 23 ++= xxxxP 2 0)2( =P 032)3(22)1( 23 =++

03)3(24)1(8 =++ 0326488 =+++

856 =+ (1)

3)3()1()( 23 ++= xxxxP 1=x 6

6)1( =P 63)1()3()1()1()1( 23 =++ 63)3()1( =+++ 6331 =++++

523 =+ (2)

.- .

135

(1) (2) :

=+

=+

523856

3= 2=

6. xxxP 2)( 3 = i). )1()2()( = xPxPxQ ii). )(xQ iii). 2 1 )(xQ

i). )2(2)2()2( 3 xxxP = xx 48 3 = ( xx 2 ) 1322133)1(2)1()1( 23233 ++=++== xxxxxxxxxxP ( 1 xx ) ,

)1()2()( = xPxPxQ =++= )13(48 233 xxxxx 1348 233 += xxxxx

1537)( 23 += xxxxQ

,

ii). )(xQ 3 : 1 ,5 ,3 ,7 23 xxx iii). 2 )(xQ 0)2( =Q

=+= 1)2(5)2(3)2(7)2( 23Q =++ 11043)8(7 04591256 =++= 2 )(xQ

1 )(xQ 0)1( =Q

=+= 1)1(5)1(3)1(7)1( 23Q 1513)1(7 ++ 077 =+= 1 )(xQ .

.- .

136

235 3

25 78 1

, = + 0 <

235 3 78 1= + , 1 =

234 3

24 78

0

, = + 0 =

234 3 78=

( )x ( ) 0x ( )x ( )x : ( ) ( ) ( ) ( )x x x x = + ,

( ) 0x = ( ( )x )

.- .

137

( )x ( )x ( )x ( )x

S. O. S. ( )x

:

i). 3 2( ) 2 2 3F x x x x= + 1x ii). ( )F x iii). ( ) 0F x =

322 23 + xxx 1x 23 22 xx + 22x x4+ +3

34 2 xx

xx 44 2 +

33 x

33 + x

0

0 .

, =)(xF 322 23 + xxx :

)342()1(322 223 ++=+ xxxxxx

= 0)(xF 0)342()1(0322 223 =++=+ xxxxxx 01=x

0342 2 =++ xx 08(

.- .

138

:

x a v vx a

x a+ 2 1 2 1x a + ++

!!!.

() 5 ( x ( )P x ) ( ( ) : ( )P x x ) ( ( )x . ( ) ( ) ( )P x x x = ) ( x = ( )P x ) (

( ) 0P = )

() ( )P x x ( )P =

S. O. S. () () .

1. 4 3( ) 3 2 2P x x x x= + + : i. 1x ( )P x ii. ( )P x 1x + 2 = .

2. 4 3 2( ) 2 7P x x x x x = + + + . ( )P x 1x 3x + .

3. 3 2( ) ( 2 3) 3 3P x x a x ax a = + + + + . , 1x + ( )P x ( ) : ( 2)P x x + 4 = .

4. 4 3 2( ) 5 3 7 4P x x x x= + 2x + . 5. ( )P x 2x 1

3+x -14. )(xP 62 + xx .

1.

4 3( ) 3 2 2P x x x x= + + . 1x ( )P x = 0)1(P =++ 0212113 34 = 62 3=

.- .

139

, ( )P x 1x + 2 = :

2)1( =P =++ 22)1(2)1()1(3 34 =+ 0213 = 22 1=

2. T 4 3 2( ) 2 7P x x x x x = + + + 1x , 3x + : 0)1( =P 0117121 234 =+++ 4=+ (1) 0)3( =P

0)3()3(7)3(2)3( 234 =+++ 03635481 =+ 363 =+ 363 = (2)

(1) (2) 128324

3634 )(

===

=

=+ +

8= 12=

..

3. 3 2( ) ( 2 3) 3 3P x x a x ax a = + + + + . 1x + ( )P x 0)1( =P

03)1(3)1)(32()1( 23 =++++ 4=+ (1) ( ) : ( 2)P x x + 4 = 4)2( =P

=++++ 43)2(3)2)(32()2( 23 247 =+ (2)

(1) (2)

32

310

620206

2474 )(

====

=+

=+

32

= 3

10=

4. 4 3 2( ) 5 3 7 4P x x x x= + 2x + : 4)2(7)2(3)2(5)2( 234 +== P = 447)8(3165 + =

244282480 = 24)2( == P 5. )(xP :

)(xP 2x 1 1)2(11 == P )(xP 3+x -14

14)3(142 == P

.- .

140

)6(:)( 2 + xxxP 62 + xx 2 , += xx)( , .

: +++= xxxxxP )()6()( 2 (1) (1) 2=x :

+++= 2)2()622()2( 2P ++= 2)2(01 12 =+ (2) (1) 3=x :

+++= )3()3()]6)3()3[()3( 2P += 3)3(014 143 =+

(3)

(2) (3)

=+

=+

14312

=

=

53

, )(xP 62 + xx 53)( = xx .

.- .

141

HORNER

Horner

:

( )P x x ( )x + ( )P x .

( )P x x ( )x + .

( )P x x = ( x

= ).

Horner :

: 3( 2 1) : ( 2)x x x+ + :

1 : x . :

3 32 1 2 1x x x x+ = + ( 2x + ) 2 : x

. 3 3 22 1 2 0 1 1x x x x x+ = + +

3 : Horner

2,0,1, 1 -2 ( 2 0x + = 2x = ).

4 :

-2,

.

5 : .

=0 x - x =

. ( )

.- .

142

Horner ( )

32 1x x+ 2x + 3 22 4x x 22 4 9x x +

24 1x x +

24 8x x+

9 1x

9 18x

19

2 0 1 -1 2=

-4 8 -18

2 -4 9 -19

, 2( ) 2 4 9x x x = + 19 = . : 3 22 1 ( 2)(2 4 9) 19x x x x x+ = + +

..

: 1912 3 =+ xx

Horner :

1912 3 =+ xx

1919)942)(2( 2 =++ xxx 0)942)(2( 2 =++ xxx

2=x 0942 2 =+ xx

2=x ( 0567216

.- .

143

( )f x ( )x .

( )x x = 1 ( )f x : x 2 Horner

3 : ( )f x x ( )f =

1. ( ( )P x ( )( )x x ( )P x ( )x ( )x

2. ( )P x 2( )x ( ) 0P x = x = 2 x =

( ) 0P = ( ) 0 = ( )x ( )P x : ( )x .

1. 4 2( ) 5 3P x x x x= + . ( ) : ( 2)P x x + .

2. 3( ) 7 6f x x x= + I. ( ) : ( 3)f x x + II. ( ) 0f x =

3.

.- .

144

I. )(xP ))(( xx )(xP ( )x ( )x

II. +++= xxxxP 23 4)( . , )(xP 322 + xx ( 1).

4. ++= 23)( xxxP . , )(xP 442 + xx ( 2).

1. ( ) : ( 2)P x x + 4 2( ) 5 3P x x x x= + 350 234 ++ xxxx 2+x

4x 32x 3x 22x x 3+

32x 35 2 + xx

23 42 xx ++

32 + xx

xx 22 ++

33 x

63 x

9

, ( ) : ( 2)P x x + 9= . 2 : Horner

1 0 -5 1 -3 2=

-2 4 2 -6

1 -2 -1 3 -9

, 9= 3

954520163)2()2(5)2()2( 24 ===+== P

2. ( ) : ( 3)f x x + 3( ) 7 6f x x x= +

.- .

145

670 23 ++ xxx 3+x

3x 23x 2x x3 2+

673 2 + xx

23x+ x9+

62 +x

62 x

0

0= . , 3( ) 7 6f x x x= + )23)(3( 2 ++= xxx

= 0)(xf =++ 0)23)(3( 2 xxx 03 =+x 0232 =+ xx

3=x 1=x 2=x

2 : Horner :

1 0 -7 6 3=

-3 9 -6

1 -3 2 0

0= . , 3( ) 7 6f x x x= + )23)(3( 2 ++= xxx

= 0)(xf =++ 0)23)(3( 2 xxx 3=x 1=x 2=x

3. I. : )(xP ))(( xx .

)(x : )())(()( xxxxP = (1) (1):

=x 0)()()(0)( == PP =x 0)()(0)()( == PP

, )(xP )( x )( x

.- .

146

: )(xP )( x )( x . , 0)( =P 0)( =P . )(xP

))(( xx . ))(( xx 2 , : += xx)( , . , :

++= xxxxxP )())(()( (2) (2)

=x : 0)()(0)( =+++= P (3) =x : 0)(0)()( =+++= P (4)

(3) (4)

00)(0)( ===++

(3) 0= 0= . , )(xP ))(( xx , )(xP

))(( xx .

. +++= xxxxP 23 4)( 322 + xx )3)(1( += xx . ,

)(xP )1( x 5011410)1( 23 =+=+++= P (1)

)(xP )3( +x 930)3()3(4)3(0)3( 23 =+=+++= P (2)

(1) (2)

=+

=+

935

=

=

61

4. 22 )2(44 =+ xxx . , ++= 23)( xxxP 2)2( x , )(xP )2( x )(xP )2( x )2( x .

)2(:)( xxP

.- .

147

1 0 2=

2 42 + 84 +

1 2+

42 +

84 ++

42)2()( 2 ++++= xxx 84 ++= . , ,

0840 =++= (1) , 42)2()( 2 ++++= xxx )2( x :

042)2(20)2( 2 =++++= ax 042424 =++++ a 124 = 3=

, (1) : =++ 08)3(4 4=

.- .

148

- :

11 1 0... 0

v v

v va x a x a x a

+ + + + = , 0va

. . 6 23 5 6 0x x + = 6

35 2 1 0x x + = 3

25 2 3 0x x+ =

x =

, ( ) 0P = .

. . 3 6 5 0x x + = 1x =

3( ) 6 5P x x x= + ( 3(1) 1 6 1 5 0P = + = )

,

.

1 2( ) 0 ( ) ( ) ... ( ) 0P x P x P x P = = 1

2

( ) 0( ) 0

( ) 0

P xP x

P x

= = =

3 1 2

.- .

149

11 1 0( ) ...v vv vP x a x a x a x a= + + + +

( ) 0P x =

x = .

x =

0a .

x = ( ) 0a .

i). ( ) .

.

ii). .

. . += 22x

.

iii). .

. . 5 4( ) 3 2 5 3 3f x x x x= + .

:

1. : 01892 23 =+ xxx

01892 23 =+ xxx 0)2(9)2(2 =++ xxx 0)9)(2( 2 =+ xx 0)3)(3)(2( =++ xxx 02 =+x 03 =x 03 =+x 2=x 3=x

3=x

..

.- .

150

2. : 041583 23 =++ xxx

041583 23 =++ xxx : 4 : 1 , 2 , 4

Horner

41583)( 23 ++= xxxxP . ,

3 8 -15 4 1=

3 11 -4

3 11 -4 0

, 0)1( =P 1 )(xP

3 8 -15 4 1=

-3 -5 20

3 5 -20 24

, 024)1( =P -1 )(xP

3 8 -15 4 2=

6 28 26

3 14 13 30

, 030)2( =P 2 )(xP

3 8 -15 4 2=

-6 -4 28

3 2 -19 32

, 032)2( =P -2 )(xP

3 8 -15 4 4=

.- .

151

12 80 280

3 20 65 284

, 0280)4( =P 4 )(xP

3 8 -15 4 4=

-12 16 -4

3 -4 1 0

, 0)4( =P -4 )(xP , : 4,1 .

[2 1 )(xP )4113)(1()( 2 += xxxxP

041583 23 =++ xxx 0)4113)(1( 2 =+ xxx 01=x

04113 2 =+ xx 1=x 4=x 31

=x ]

..

3. : 0234 =+ xx

1 , 2

Horner

23)( 4 += xxxP . ,

1 0 0 3 -2 1=

1 1 1 4

1 1 1 4 2

, 02)1( =P 1 )(xP

1 0 0 3 -2 1=

-1 1 -1 -2

.- .

152

1 -1 1 2 -4

, 04)1( =P 1 )(xP 1 0 0 3 2 2=

2 4 8 22

1 2 4 11 24

, 24)2( =P 2 )(xP 1 0 0 3 2 2=

-2 4 -8 10

1 -2 4 -5 12

, 012)2( =P -2 )(xP , 0234 =+ xx .

.- .

153

( ) ( )A x B x> , ( )A x , ( )B x . ( ) ( )A x B x> ( ) ( ) 0A x B x >

( ) 0P x > 1 2( ) ( ) ... ( ) 0P x P x P x > (1 2 ) .

!! 2[ ( )] 0A x > x , 2 1[ ( )]A x + ( )A x .

:

1. 3 23 5 9x x x+

2. 4 3 23 9 9 2 0x x x x +

3. 2

24 2

1 1 1x

x x x

+

4. 2 3 1 1x x+ + >

1. 3 23 5 9x x x+ 0935 23 ++ xxx .

0935 23 =++ xxx 1 , 3 , 9 -1 Horner :

1 -5 3 9 1=

-1 6 -9

1 -6 9 0

)96)(1(935 223 ++=++ xxxxxx : 0935 23 ++ xxx 0)96)(1( 2 ++ xxx + 0)3)(1( 2xx 1x

xx 0)3( 2

.- .

154

2. 4 3 23 9 9 2 0x x x x +

02993 234 =+ xxxx 1 , 2 . 1

Horner :

3 -1 -9 9 -2 1=

3 2 -7 2

3 2 -7 2 0

)2723)(1(2993 23234 ++=+ xxxxxxxx Horner 2723 23 ++ xxx . : 1 , 2 .

1

3 2 -7 2 1=

3 5 -2

3 5 -2 0

, )253)(1(2723 223 +=++ xxxxxx :

4 3 23 9 9 2 0x x x x + ++ 0)2723)(1( 23 xxxx + 0)253)(1)(1( 2 xxxx + 0)253()1( 22 xxx [ xx 0)1( 2 ]

0253 2 + xx 049242542 >=+==

=

=

31

2

675

2,1x

:

x

2 31

+

253 2 + xx + - +

, 0253 2 + xx 2x 31

x :

4 3 23 9 9 2 0x x x x +

.- .

155

3. 2

24 2

1 1 1x

x x x

+ . . . = 1)1)(1( 2 =+ xxx

012x 1x 1x . 2

24 2

1 1 1x

x x x

+ 0

12

14

1 22

+ xxx

x 0

12

1)1(4

1)1(

222

2

+

xx

x

x

xx

01

2442

23

x

xxx 0

164

2

23

x

xxx 0)1)(64( 223 xxxx

6423 xxx 1 , 2 , 3 , 6

3 6423 xxx . Horner

:

1 -1 -4 -6 3=

3 6 6

1 2 2 0

6423 xxx )22)(3( 2 ++= xxx : 0)1)(64( 223 xxxx 0)1)(22)(3( 22 ++ xxxx

222 ++ xx 04

.- .

156

2 3 1 1x x+ + > 1132 ++>+ xx 22 )11()32( ++>+ xx

112132 ++++>+ xxx 112 + 3>x

.- .

157

(1)

.

:

1. 2 2 2 2( 5 7) 4( 5 5) 5 6 3x x x x x x + + + + + = 2. 2 2 2( 2 1) 3( 2 3) 14 0x x x x+ + + + = 3. 10 533 32 0x x + =

4. 6 35 6 0x x + =

[ (3) (4) : 2 0v vax x + + = . vx = ]

1. 2 2 2 2( 5 7) 4( 5 5) 5 6 3x x x x x x + + + + + = (1) xx 52 = (1) :

36)5(4)7( 2 =+++++ 0920449142 =++++++ 078192 =++ 13= 6= . ,

13= : = 1352 xx 01352 =+ xx ( 0

.- .

158

3. 10 533 32 0x x + = (1) : =5x 22510 )( == xx (1) : 032332 =+ 1= 32=

1= : 15 =x 1=x

32= : 325 =x 5 32=x 2=x .

.

4. 6 35 6 0x x + = (1) =3x 2236 )( == xx (1) : 0652 =+ 2= 3= .

2= : 23 =x 3 2=x

3= : 33 =x 3 3=x

.- .

159

(2)

. . 2

23 2 7

1 5 1x x

x x

++ =

2 2( 3) 5( 3) 7

5 3 2x x x+

+ =

1. . . . 0 .

2. . . . 3. !!!

.

: :

i). 2 2

23 1 2 3 2

1x x x

x x x x

+ =

ii). 2 22 1 0

2 1 2x

x x x+ =

i). 2 2

23 1 2 3 2

1x x x

x x x x

+ =

x

xx

xxx

x 23)1(

2113 22 +

=

)1(... = xx : 0)1( xx 0x 1x , :

x

xxxx

xxxx

x

xxx

23)1()1(2)1(

113)1(

22 +=

)23)(1(2)13( 22 += xxxxx 232323 2233 ++= xxxxxxx 0642 23 =+ xxx 032 23 =+ xxx 0)32( 2 =+ xxx 0=x 0322 =+ xx

0=x () 1=x () 3=x . ..

.- .

160

ii). 2 22 1 0

2 1 2x

x x x+ =

0)12(

112

22 =

+xxx

x

)12(... = xx : 0)12( xx 0x 012 x

21

x . , :

0)12(1)12(

122)12()12( 2 =

+

xxxx

xxxxxx

0122 34 =+ xxx 0)1()1(2 33 =++ xxx 0)1)(12( 3 =+ xx

12 =x 013 =+x

21

=x () 13 =x 1=x

.- .

161

(3)

.

. . 2 1 2x x + =

2 2 3 13x x +

,

( ) .

!! .

!! .

: :

1. 42 =++ xx

2. 1413 =++ xx

3. =+ xx 12

4. 0233 2 = xx

5. 02410152 =+ xxx

1. 42 =++ xx (1) , 02 +x 2 x .

42 =++ xx xx =+ 42 =+ 22 )4()2( xx

28162 xxx +=+ =+ 01492 xx 2=x 7=x

.- .

162

2=x (1) : 444224244222 ==+=+=++

7=x (1) : 4104734794727 ==+=+=++ , 7=x , 2=x .

2. 1413 =++ xx :

3113013 + xxx

404 + xx

31

x . :

1413 =++ xx 1413 ++=+ xx (1) (1) . :

1413 ++=+ xx ++=+ 22 )14()13( xx

142)4(13 2 ++++=+ xxx 142413 ++++=+ xxx

4242 += xx 42 += xx (2) (2) 04 +x 202 xx .

31

x . ,

2x . :

42 += xx 22 )4()2( += xx 4442 +=+ xxx 052 = xx = 0)5(xx 0=x 5=x .

0=x 2x .

5=x .

3. . :

012 +x x .

.- .

163

0 x x ( 2 1 ) :

=+ xx 12 1221)()1( 2222222 =+=+=+ xxxxxx (1)

0= (1) 10 = x

0 (1)

2

12 =x

x

o

2

12

02

12

0

221 22

0

212

+ 0

212

0

.

4. 0233 2 = xx (1) 0x . 3 x=

: 2233 2 )( == xx (1) : 022 = 1= 2=

11 3 == x

822 3 === xx

5. 02410152 =+ xxx (1) 0x . x= : 22)( == xx 442 )( == xx (2) :

0241015 24 =+ (2) 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 . 1 ,

1 0 -15 -10 24 1=

1 1 -14 -24

1 1 -14 -24 0

.- .

164

(2) : 0241015 24 =+ 0)2414)(1( 23 =+ (3) , 241423 + 2

Horner

1 1 -14 -24 2=

-2 2 24

1 -1 -12 0

)12)(2(2414 223 +=+ , (3) :

=+ 0)2414)(1( 23 0)12)(2)(1( 2 =+ 01= 02 =+ 0122 = 1= 2= 3= 4=

:

1= : 1=x 1= x

2= : 2=x

3= : 3=x

4= : 164 == xx .

.- .

165

1.

I. 53)1(3)( 22 += xxxP .

.

.

.

.

II. )2()2()4()( 22 ++= xxxP , :

. -2 . -1 . 0 . 1 . 2

III. 8)1()1()1()( 232 ++++= xxxxP

. -1 . 0 . 1 . . IV. 1)23()1()( 235 +++= xxxP

. -1 . 0 . 1 . -5 . 5

V. 8)1()1()( 5 ++= xxxP , , )1()1()1()1()( 2233 ++= xxxxq

. 3 . 2 . 1 .

.

VI. 5)( 3 += xxxP ++= 5)( 23 xxxQ ,

. -1 . 0 . 1 . 5 . -5

VII. 1)32()( 21 ++= + xxxxP 1(3)( 21998 ++= xxxxq

.- .

166

. 1 . -1 . 0 . 1998 . VIII. 011 ...)( +++= xxxP .

0 :

. 00 > . 00 . 1998> . 1997= . 1997= .

XII. )(xP : 852)()1( 462 += xxxxPx )(xP :

. 3 . 4 . 5 . 6 .

.- .

167

2.

4)2()2()( 223 +++= xxxP .

3. 3)62()2()( 2 ++++= xxxP .

4. ,,

2)()( 2 += xxxP +++= xxxQ 4)()( 2

5. 27839)( 23 += xxxxP : )93()3(3)( 223 ++++ xxxxxx

6. )(xK 4432)( 234 ++= xxxxxP

7. xxxxP +++= 325 )23()1()(

.21

8. 2)1()( 2 ++= xxxP -1 xxxxK )1(4)( 223 ++= . ;

9. )(xP : 3223)()1( 23452 ++=+ xxxxxxPx

10. .52)( 2 ++= xxxP 13)1( =P .

11. ,

xxxP )102()2()( 2 ++= .

.- .

168

12. 32)94()94()( 2233 ++= xxxP .

13. )(xP 269)23( 2 += xxxP )(xP .

14. )(xP 1 )(xQ )23(3)()12()( 2 = xPxPxxxQ

i. )(xQ ii. )53( xP 2.

15. I. )(xP -2 . 2x . 2+x . 12 +x . 12 x . x2

II. )(xP 2 -1

. 2x

1x

. 2+x

1x

. 2+x

1+x

. 2x

1+x

. 12 x

12 +x

III. )(xP 12 +x )(xP

. 2 . -2 . 1 .

21

. 21

IV. 5 , :

. 2

. 2

.- .

169

. 2

. 3

. 3

V. , 3 :

. 3

. 2

. 2

. 2

VI. 3)( 248 +++= xxxxP x . :

. 0> . 0

.- .

170

. 72 24 + xxx

. 92 246 + xxx

. 52 68 ++ xx

X. )(xP ( ) 3)( x . )(:)( xxP

. -3 . -1 . 0 . 1 . 3

16.

i. )1(:)922( 2235 + xxxx ii. )5(:)1527( 334 ++ xxxx iii. )2(:)43( 233 + xxx iv. )(:]9)79(7[ 223 ++ xxx

17. )(xf 12 +x 13 x

52 +x .

18. ,

1)( 4 += xxP ++ xx 2 0.

19. 4)( 23 +++= xxxxf 2x 8)1( =f , .

20. ++= xxxxP 132)( 23 . )(xP 62 xx , .

21. )14(3)13(2)( 222 +++= xxxP . )2(:)( +xxP .

.- .

171

22. )(xP 5x )32( xP 4x

23. Horner .

i. )2(:)652( 23 + xxxx ii. )1(:)362( 245 +++ xxxx iii. )(:]3)62(6[ 223 ++ xxx , iv. )12(:)24( 256 + xxxx

v. )1(:)21( 2325 ++ xxxx ,

24. ,

5)1()( 23 ++= xxxxP )2)(1( + xx

25. ,

10)3()( 23 +++= xxxxP 2)2( x .

26. )(xP )2( x 10 )3( +x 5. )(xP

)3)(2( + xx

27. )(xP )2( +x 3 2 4 3x x + 72 +x .

)34)(2(:)( 2 ++ xxxxP .

.- .

172

28.

i. 0652 =+ xx

ii. 022 23 =+ xxx

iii. 0223 34 =+ xxx

iv. 073 24 =++ xx

v. 032 3 =++ xx

29. xx' .

i. 42)2()( 2 += xxxf ii. xxxg 3)( 3 = iii. 23)( 24 += xxxh iv. 45)( 5 += xxxK v. 5)1()( 24 +++= xxx

30.

xx' .

i. 23)( 23 ++= xxxxf ii. xxxg 5)( 2 = iii. 423 )1()( xxxh += iv. 2)1()( 2 = xxK v. 2)( 24 += xxx

31. 023 23 =++ xxx , :

. -1 . 1 . -2 . 2 . 3

32. 023 =++ xxx , , 3

:

. 6 . 10 . 12 . 15 . 18

.- .

173

33. += xx3 ,

. 1 . -1 .

32

. 4 .

45

34. xx 25 = ,

. ),0( + . )0,( . ),5[ + . ]5,( . ]5,0[

35. 53 =+ xx ,

.

. 2 . 3 . 4 . 5 . 6

36. ( ) : i. 783 + xx

ii. 0265 234 =++ xxxx

iii. 02)2( 3 =++ xxxx iv. 0)4(3)4)(1( 4 =++ xxx v. 012872 234 =++ xxxx

37. 0195 2 =+ xx .

38. , : 01)1(28 2 =+ xx .

39.

i. 022 23 >+ xxx

ii. 953 23 + xxx

iii. 02993 234 + xxxx

iv. 463 34 + xxx

v. xxxxx 176)12(10)43( 24 +

.- .

174

40. 01235 =++ xxxx .

, .

41.

i. 089 36 =+ xx

ii. 08)23(9)23( 3262 =+++ xxxx iii. 04)2(3)2( 48 =++ xx iv. 04)1211(3)1211( 2343 =++ xxxx

v. 06)1(5)1( 2 =+x

x

x

x

42. 045 =+++ xxx . ,

-1 2 ( ). .

43. 01123 =+ xx

: )3 ,4( , )1 ,0( , )4 ,3( .

44.

i. 1

312

1 2 =

++

+ xx

x

x

x

ii. 22

242

xx

xx=

+

45.

i. 12

423