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9 January, 10:04

Explain why the polynomial 144x2 - 200x + 81 is not a perfect square.

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  1. 9 January, 11:17
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    The square root of 144x^2 = 12 x

    and square root of + 81 = 9 or - 9

    if this polynomial were a perfect square then its factors would be

    (12x - 9) (12x - 9)

    but its not a perfect squre because (12x - 9) (12x - 9) = 144x^2 - 216x + 81.
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