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Math Help - Algebra - Pre Test Problems

  1. #1
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    Algebra - Pre Test Problems

    Hi guys if you can please help, i left my maths text book in my locker at school and not really sure on how to do this problems and i got a test on Monday.

    1. Use long devision to divide:

    6x^4+10x^3+13x^2-5x+2/2x^2-1

    I know how to use long division, but for this one answears dont add up, im thinking maybe theres a type-o in it somewhere?

    2. Use synthetic devision to divide:

    5x^3+33x^2+50x-8/x+4

    Ok for Q2 i got and wondering if its right, 5x^3+53x^2+162x+640/x+4

    3. Find all rational zeros of the function:

    f(x)=25x^4+25x^3-154x^2-4x+24

    4. Given that (1-i) is a zero of the function:

    f(x)=4x^4-11x^3+14x^2-6x

    Find all the zeros of the function.
    Last edited by iFuuZe; April 19th 2012 at 08:13 PM.
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  2. #2
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    Re: Algebra - Pre Test Problems

    Quote Originally Posted by iFuuZe View Post
    Hi guys if you can please help, i left my maths text book in my locker at school and not really sure on how to do this problems and i got a test on Monday.

    1. Use long devision to divide:

    6x^4+10x^3+13x^2-5x+2/2x^2-1

    2. Use synthetic devision to divide:

    5x^3+33x^2+50x-8/x+4

    3. Find all rational zeros of the function:

    f(x)=25x^4+25x^3-154x^2-4x+24

    4. Given that (1-i) is a zero of the function:

    f(x)=4x^4-11x^3+14x^2-6x

    Find all the zeros of the function.
    Do you really expect us to type up on a computer an algebraic long division?
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  3. #3
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    Re: Algebra - Pre Test Problems

    That would be nice.....

    With Q1 do you do something to it before dividing it or put 0 in for missing roots e.g. 0x^3
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  4. #4
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    Re: Algebra - Pre Test Problems

    For no2 5x^3+33x^2+50x-8=(x+4)( ) We need the 2nd bracket

    It must clearly start with 5x^2 and end with -2 So our expression=(x+4)(5x^2 +?-2) Clearly ? is an x term

    As it stands when multiplied out we have 20x^2. We require +33x^2 So we need another 13x^2 which we will get if we put ?=13x

    So we have (x+4)(5x^2+13x-2) ( notice this does give us the +50x we require) So answer is 5x^2+13x-2
    Thanks from iFuuZe
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