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Math Help - help

  1. #1
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    help

    f ( x ) = 2x^3+3x^2-4x+2

    a) find the remainder when f ( x ) is divided by (x-1)

    b) Hence express f ( x ) in the form f ( x ) = (x-1)q( x ) + R, where q (x ) is a quadratic polynomial, and R is a constant.
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  2. #2
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    Quote Originally Posted by x-disturbed-x
    f ( x ) = 2x^3+3x^2-4x+2

    a) find the remainder when f ( x ) is divided by (x-1)

    b) Hence express f ( x ) in the form f ( x ) = (x-1)q( x ) + R, where q (x ) is a quadratic polynomial, and R is a constant.

    a) Put x=1 and you will get remainder, which in this case is f(1) = 3.

    b) Remainder R is equal 3 (from a)) , and you will have to divide 2x^3+3x^2-4x+2 with (x-1). Do you know how to do that?
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  3. #3
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    yeah, i get 2x^2+5x+1 which won't factorise...i've tried it so many times. please help
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  4. #4
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    Quote Originally Posted by x-disturbed-x
    yeah, i get 2x^2+5x+1 which won't factorise...i've tried it so many times. please help
    Yes, that's ok, but you have a remainder R=3 which you have to add.
    So it will be:
    2x^3+3x^2-4x+2=(x-1)(2x^2+5x+1)+3
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