Matematika

Pertanyaan

dibantu ya dibantu :D udah pusing
dibantu ya dibantu :D udah pusing

1 Jawaban

  • 1) f(x) = 3x^2 - 2x - 4 . 2
    f(x) = 3x^2 - 2x - 8 ==> x = 3
    f(3) = 3(3)^2 - 2(3) - 8 = 27 - 6 - 8 = 13

    2) a) x^4 + 3x^3 - 5x^2 + 2x - 24 : (x - 2) => x = 2
    2 | 1 ... 3 .... -5 ... 2 .... -24
    ... | ..... 2 ... 10 .... 10 ... 24
    ----------------------------------- +
    ..... 1 ... 5 ... 5 ..... 12 ..|.. 0 => sisa
    Hasil bagi = x^3 + 5x^2 + 5x + 12
    Sisa = 0

    B) 2x^4 + 3x^3 + 4x^2 + 5x : (2x + 1) => x = -1/2
    -1/2 | 2 ... 3 ... 4 .... 5 ...... 0
    ....... | ...... -1 .... -1 ... -3/2 .. -7/4
    ------------------------------------------ +
    ......... 2 .. 2 .... 3 ..... 7/2 .. | .. -7/4 => sisa
    Hasil bagi = 2x^3 + 2x^2 + 3x + 7/2
    Sisa = -7/4

    C) x^3 - 6x^2 + 3x - 2 : (x^2 - 3x + 2) => (x - 2)(x - 1) => x = 2 atau x = 1
    2 | 1 .... -6 .... 3 .... -2
    ... | ...... 2 ..... -8 ... -10
    ------------------------------ +
    1 | 1 .... -4 .... -5 .. | .. -12 => S1
    .. | ....... 1 ...... -3
    -------------------- +
    ..... 1 ... -3 .. | -8 => S2
    Hasil bagi : x - 3
    Sisa = S2 (x - 2) + S1 = -8 (x - 2) + (-12) = -8x + 16 - 12 = 4 - 8x