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Algebra 2

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1. A rectangle has an area of x3 + x2 – 7x + 2 square meters and a width of x – 2 meters. Find its length.

  • Algebra 2 - ,

    ah ha, so this is why you want to divide polynomials
    *******______ x^2____________________
    (x-2) | x^3 + x^2 - 7 x + 2
    ********x^3 -2 x^2
    ********--------------------
    ************+3 x^2 - 7 x + 2

    *******______ x^2_+3x__-1____
    (x-2) | x^3 + x^2 - 7 x + 2
    ********x^3 -2 x^2
    ********--------------------
    ************+3 x^2 - 7 x + 2
    ************+3 x^2 -6 x
    ************----------------
    ******************* -1 x + 2
    ******************* -1 x + 2
    *******************-----------
    **********Remainder = 0
    so
    x^2 +3 x - 1

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