Matematika

Pertanyaan

bila f(x) dibagi(x-2) bersisa 24 dan bila dibagi (x+5) susanya 11. carilah sisanya bila f(x) dibagi x2+3x-10

1 Jawaban

  • → f(x) : ax + b

    x - 2 = 0
    x = 2

    → Subs x = 2
    ax + b = 24
    2a + b = 24

    x + 5 = 0
    x = -5

    → Subs x = -5
    ax + b = 11
    -5a + b = 11

    → Eliminasi

    2a + b = 24
    -5a + b = 11
    ------------------ (-)
    7a = 35
    a = 35/7
    a = 5

    2a + b = 25
    2(5) + b = 25
    10 + b = 25
    b = 25 - 10
    b = 15

    → Sisa jika di bagi x² + 3x - 10 :
    = ax + b
    = 5x + 15

Pertanyaan Lainnya