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March 25, 2017

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The area of a rectangular room is given by the trinomial x^2+7x-30. What are the possible dimensions of the rectangle? Use factoring. (1 point)

  • Algebra Question~! - ,

    (x+10)(x-3)

  • Algebra Question~! - ,

    x^2 + 7x - 30
    = (x+10)(x-3)
    so the sides could be (x+10) and (x-3) , were x > 3

    or

    x^2 + 7x - 30
    = (x-2)(x+9 - 12/(x-2) )
    so the sides could be x-2 and x+9 - 12/(x-2)

    or

    x^2 + 7x - 30
    = (x+5)((x+2 - 40/(x+5) )
    so the sides could be x+5 and x+2 - 40/(x+5)

    or ...

    as you can see there is no unique solution, I could pick any binomial for a first side, do a division and get the 2nd side.

    Illustrate with numbers
    Suppose you have an area of 30
    so the sides could be 5 and 6
    or
    the sides could be 3 and 10
    or
    the sides could be 1 and 30
    or
    4.5 and 6 2/3

    etc, can you see my point?

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