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19 February, 17:42

One of the factors of the polynomial x3 + 5x2 + 6x is (x2 + 3x). What is the other factor?

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  1. 19 February, 17:49
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    x+2

    Step-by-step explanation:

    Dividing the poly by the known factor:

    x3+5x2+6x | x2+3x

    -x3-3x2 x + 2 < - the answer is here

    2x2+6x

    -2x2-6x

    To prove that, let's multiply the two factors and find the pylonomial back on:

    (x2+3x). (x+2) = x3 + 2x2 + 3x2 + 6x = x3 + 5x2 + 6x

    Tks your attention!
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