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Math Help - A little bit of help

  1. #1
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    A little bit of help

    I am trying to solve these questions but i am having trouble


    - Find exact value of the following

    1) Log86-log83+log84

    2) When x^4 - 4x^3 + ax^2 + bx + 1 is divided by (x-1) the remainder is 7
    When it is divided by (x+1) the remainder is 3

    Determine values of a and b
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Infiniti View Post
    I am trying to solve these questions but i am having trouble


    - Find exact value of the following

    1) Log86-log83+log84
    \log_8 6 - \log_8 3 + \log_8 4 = \log_8 \left( \frac {6 \cdot 4}3 \right) = \log_8 8

    can you continue? (you should memorize the rules for logarithms so you know how to simplify them )

    2) When x^4 - 4x^3 + ax^2 + bx + 1 is divided by (x-1) the remainder is 7
    When it is divided by (x+1) the remainder is 3

    Determine values of a and b
    use the remainder theorem:

    let f(x) = x^4 - 4x^3 + ax^2 + bx + 1

    then, we know by the remainder theorem, that:

    f(1) = 7

    and

    f(-1) = 3

    you can use this to set up two simultaneous equations where you can solve for a and b
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