Matematika

Pertanyaan

tentukan nilai a jika :
a). x^3+2x^2-ax+1 dibagi oleh (x-1) bersisa 5
b). 2x^3+x^2-3x+a dibagi oleh (x-2) - 11

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mohon bantuannya

1 Jawaban

  • Dalil Sisa
    Nilai fungsi = sisa
    f(x) = s(x)

    a)
    f(x) = x³ + 2x² - ax + 1
    p(x) = x -1 --> x -1 =0 --> x = 1
    s(1) = 5
    f(1) = s(1)

    1³ + 2(1)² - a(1) + 1= 5
    1 + 2 - a + 1 = 5
    4 - a = 5
    a = 4 - 5
    a =  -1

    2)
    f(x) = 2x³ + x² -3x + a
    p(x)= x-2 --> x-2 =0 --> x= 2
    s(2) = -11

    f(2) = s(2)
    2(2)³ + (2)² - 3(2) + a = -11
    2(8) + 4 - 6 + a = -11
    16 + 4 - 6 + a = - 11
    14 + a = - 11
    a = -11 - 14
    a = -25


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