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Product of Roots of Sums of Products of Difference

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What is the product of all roots to the equation

++(x−1)(x−2)(x−3)+(x−2)(x−3)(x−4)(x−3)(x−4)(x−5)+(x−4)(x−5)(x−6)(x−5)(x−6)(x−7)+(x−6)(x−7)(x−8)=0?

  • Product of Roots of Sums of Products of Difference -

    ++(x−1)(x−2)(x−3)+(....−7)+( what do the plus signs mean?

    If you mean them as four added terms=0, then you have to figure the roots out first, by combining the terms.

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