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12 December, 10:33

Which statement is true about the prime polynomial 2x2 + 3x + 3? It cannot be modeled with a rectangle. It can be modeled with a square. It cannot be modeled with all positive tiles. It can only be modeled with an odd number of tiles.

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  1. 12 December, 10:43
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    It cannot be modeled with a rectangle.

    Is your answer.
  2. 12 December, 10:50
    0
    Prime polynomial are polynomials that cannot be factored into lower degree polynomials, they are also known as irreducible polynomial. Given our polynomial

    2x²+3x+3

    Is an irreducible polynomial because there is no way to find two integers such that their products is 3 and they also sum up to 3. This means we cannot factor it into linear terms (x+b) (x+c).

    From the above we conclude that it cannot be modeled with a rectangle.
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