Matematika

Pertanyaan

Tolong di bantuh jawab kak no 7
Tolong di bantuh jawab kak no 7

2 Jawaban

  • Misal :
    F(x) : x^2 - 4x + 3 hasilnya H(x) dan sisa ax + b
    F(x) = (x^2 - 4x + 3) H(x) + ax + b
    F(x) = (x - 1)(x - 3) H(x) + ax + b
    F(1) = (1 - 1)(1 - 3) H(1) + a(1) + b
    => 4 = a + b
    F(3) = (3 - 1)(3 - 3) H(3) + a(3) + b
    => 16 = 3a + b

    ..a + b = 4
    3a + b = 16
    ------------------ -
    -2a = - 12
    a = -12/-2
    a = 6

    a + b = 4
    6 + b = 4
    b = 4 - 6
    b = -2

    sisa = ax + b
    sisa = 6x - 2

    jadi sisa pembagiannya adalah 6x - 2
  • Bab Polinomial
    Matematika SMA Kelas X

    f(x) = ax +b

    f(1) =   a + b =   4
    f(3) = 3a + b = 16
            ----------------- -
                  -2a = -12
                     a = 6 

    a + b = 4
    6 + b = 4
    b = 4 - 6
    b = -2

    f(x) = 6x - 2
    jadi, sisanya 6x - 2

    jawabannya B