what is the difference between long division and synthetic division?

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what is the difference between long division and synthetic division?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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synthetic division is way more complicated? :)) well for me, perhaps.
Can I have a definition for both and the difference between them. please
i assume you mean of polynomials?

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long division is dividing polynomials the long way, you know, the bringing down x's and powers and subtracting stuff (sorry for the unrigorous description :)) synthetic division is just designed to make long division shorter (it is certainly badly designed because all it does is confuse me) and also it works for linear divisors only. that means it only works if the divident is divided by a polynomial written in the form x - k
http://www.purplemath.com/modules/polydiv2.htm and http://www.purplemath.com/modules/synthdiv.htm

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