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23 October, 09:55

For what value of a, a polynomial in standard form, equivalent to the product of (x^2+x-1) (x-a), does not contain: x

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  1. 23 October, 10:17
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    Answer: a=x, then polynomial is zero.

    a = x - 1 / (x^2+x-1), then polynomial is one, but we have to note (x^2+x-1) ! = 0.

    Step-by-step explanation:

    The polynomial product is identically zero when a = x, since factor (x-a) becomes zero. Another way for a polynomial to not contain x is if it is a constant not zero. For example,

    (x-a) = 1 / (x^2+x-1)

    a = x - 1 / (x^2+x-1)

    Substitute a = x - 1 / (x^2+x-1) into

    (x^2+x-1) (x-a) = (x^2+x-1) / (x^2+x-1) = 1.
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