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if x-2 is a factor of polynomial x cube - 2ax square + ax - 1 what is the value of a ??

  • math -

    let f(x) = x^3 - 2ax^2 + ax - 1
    if x-2 is a factor, then f(2) = 0
    f(2) = 8 -8a + 2a - 1 = 0
    -6a = -7
    a = 7/6

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