Matematika

Pertanyaan

salah satu faktor suku banyak (a+1) x^3+x^2-x+3 adalah (2x+3). maka nilai a =......

1 Jawaban

  • 2x + 3 = 0
    2x = -3
    x = -3/2

    (a+1)(-3/2)³+(-3/2)²-(-3/2)+3 = 0
    (a+1)(-27/8) + (9/4) + (3/2) + 3 = 0
    (a+1)(-27/8) + (9/4) + (6/4) + (12/4) = 0
    (a+1)(-27/8) + 27/4 = 0
    (a+1)(-27/8) = -27/4
    (a+1) = -27/4 × (-8/27)
    a + 1 = 2
    a = 1

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