Senin, 17 Februari 2014

Tugas XI IPA 1



Tentukan hasil dan sisa bagi dari pembagian sukubanyak berikut
1 1.       4x4 – 3x3 – 7x2 – 2x + 1 oleh 4x + 1
2 2.       5x6 – 2x4 + 3x2 + 2 oleh x2 + 4

22 komentar:

  1. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  2. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  3. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  4. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  5. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  6. 1. Pny :
    P(x) = 4x4 + 4x3-7x2-2x+1
    4x+1
    X=-1/4
    4 4 -7 -2 1

    1 1.25 1.4375

    4. 5 5.75 2.4375


    Jadi, 4x3-5x+5.75/4 -H(x)

    = x3-1.25x+1.4375 H(x)
    S(x)=2.4375


    2. Pnye : Q(x) = x2+4
    (X-2) (x+2)
    Q1= x-2 => x = 2
    Q2= x+2 => x =-2

    P(X) = 5x6-2x4+3x2+2
    5x6-x5-2x4+x3+3x2+2

    X=2
    5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 s1


    X=-2

    5 10 18 36 75

    -10 0 34 144

    5 0 18 72 216


    H(x)= x4+x2
    S(x)= Q1 s2+s1
    =(x-2)+153
    =216x - 432+152
    =216x-280

    BalasHapus
  7. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  8. 1. Pny :
    P(x) = 4x4 + 4x3-7x2-2x+1
    4x+1
    X=-1/4
    4 4 -7 -2 1

    1 1.25 1.4375

    4. 5 5.75 2.4375


    Jadi, 4x3-5x+5.75/4 -H(x)

    = x3-1.25x+1.4375 H(x)
    S(x)=2.4375


    2. Pnye : Q(x) = x2+4
    (X-2) (x+2)
    Q1= x-2 => x = 2
    Q2= x+2 => x =-2

    P(X) = 5x6-2x4+3x2+2
    5x6-x5-2x4+x3+3x2+2

    X=2
    5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 s1


    X=-2

    5 10 18 36 75

    -10 0 34 144

    5 0 18 72 216


    H(x)= x4+x2
    S(x)= Q1 s2+s1
    =(x-2)+153
    =216x - 432+152
    =216x-280

    BalasHapus
  9. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  10. 1. P(x) = 4 x 4 – 3 x 3 – 7x2 – 2x + 1 oleh 4x + 1
    4x + 1 4 -3 -7 -2 1


    -16 -76 -332 1336 -
    4 -19 -83 -334 1335
    Jadi 4 x 3 – 19x2 – 83x – 334 = 4x3 – 19x2 – 83x - 334
    A 4
    = x3 – 4,75x2 – 20,75 = H(x) dan S(x) = 1335



    2. Q(x) = 5 x 6 – 2 x 4 + 3x2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2
    Q1 = x – 2 => x = 2
    Q2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2
    .) x = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    .) x= -2


    -10 0 -36 0
    5 0 18 0 75 = S2

    H(x) = 5x4 + 18x2
    S(x) = Q1 x S2 + S1
    = (x – 2) 75 + 152
    = 75x – 150 + 152
    = 75x + 2


    BalasHapus
  11. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  12. 1. Pny :
    P(x) = 4x4 + 4x3-7x2-2x+1
    4x+1
    X=-1/4
    4 4 -7 -2 1

    1 1.25 1.4375

    4. 5 5.75 2.4375


    Jadi, 4x3-5x+5.75/4 -H(x)

    = x3-1.25x+1.4375 H(x)
    S(x)=2.4375


    2. Pnye : Q(x) = x2+4
    (X-2) (x+2)
    Q1= x-2 => x = 2
    Q2= x+2 => x =-2

    P(X) = 5x6-2x4+3x2+2
    5x6-x5-2x4+x3+3x2+2

    X=2
    5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 s1


    X=-2

    5 10 18 36 75

    -10 0 34 144

    5 0 18 72 216


    H(x)= x4+x2
    S(x)= Q1 s2+s1
    =(x-2)+153
    =216x - 432+152
    =216x-280

    BalasHapus
  13. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  14. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  15. 1. Pny :
    P(x) = 4x4 + 4x3-7x2-2x+1
    4x+1
    X=-1/4
    4 4 -7 -2 1

    1 1.25 1.4375

    4. 5 5.75 2.4375


    Jadi, 4x3-5x+5.75/4 -H(x)

    = x3-1.25x+1.4375 H(x)
    S(x)=2.4375


    2. Pnye : Q(x) = x2+4
    (X-2) (x+2)
    Q1= x-2 => x = 2
    Q2= x+2 => x =-2

    P(X) = 5x6-2x4+3x2+2
    5x6-x5-2x4+x3+3x2+2

    X=2
    5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 s1


    X=-2

    5 10 18 36 75

    -10 0 34 144

    5 0 18 72 216


    H(x)= x4+x2
    S(x)= Q1 s2+s1
    =(x-2)+153
    =216x - 432+152
    =216x-280

    BalasHapus
  16. 1. Pny :
    P(x) = 4x4 + 4x3-7x2-2x+1
    4x+1
    X=-1/4
    4 4 -7 -2 1

    1 1.25 1.4375

    4. 5 5.75 2.4375


    Jadi, 4x3-5x+5.75/4 -H(x)

    = x3-1.25x+1.4375 H(x)
    S(x)=2.4375


    2. Pnye : Q(x) = x2+4
    (X-2) (x+2)
    Q1= x-2 => x = 2
    Q2= x+2 => x =-2

    P(X) = 5x6-2x4+3x2+2
    5x6-x5-2x4+x3+3x2+2

    X=2
    5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 s1


    X=-2

    5 10 18 36 75

    -10 0 34 144

    5 0 18 72 216


    H(x)= x4+x2
    S(x)= Q1 s2+s1
    =(x-2)+153
    =216x - 432+152
    =216x-280

    BalasHapus
  17. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  18. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  19. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  20. Penyelesaian :

    1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  21. 1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus
  22. 1. P(x) = 4x4 - 3x3 - 7x2 - 2x + 1 oleh 4x + 1

    4x + 1 4 -3 -7 -2 1
    X = -1/4
    -16 -76 -332 1336 +

    4 -19 -83 -334 1335


    Jadi (〖4x〗^(3 )- 〖19x〗^2-83x-334)/a = (〖4x〗^(3 )- 〖19x〗^2-83x-334)/4

    = x3 - 4,75x 2 – 20,75 = H(x) dan s(x) = 1335



    2. Q(x) = 5x6 – 2x4 + 3x 2 + 2 oleh x2 + 4
    Yang sebenarnya 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    Q(x) = x2 + 4
    ( x - 2 ) ( x + 2 )
    Q 1 = x- 2 => x = 2
    Q 2 = x + 2 => x = -2

    P(x) = 5x6 + 0x5 – 2x4 + 0x3 + 3x2 + 2

    X = 2 5 0 -2 0 3 2

    10 20 36 72 150 +

    5 10 18 36 75 152 = S1

    X = -2 -10 0 -36 0

    +
    5 0 18 0 75 = S2




    H (x) = 5x4 + 18x 2
    S(x) = Q1 x S2 + S1
    = ( x-2 ) 75 + 152
    = 75x – 150 + 152
    = 75x + 2

    BalasHapus