Of synthetic division reveals a zero, why should we try that value again as a possible solution

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Lawrence

Mathematics

24 May, 21:25

Of synthetic division reveals a zero, why should we try that value again as a possible solution

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Nathanial Patel · Answer 1

Question is asking if synthetic division reveals a zero, that means say if you divide x^2-4x+4 by x=2 then we will get last digit as 0 which indicates that x=2 is a solution.

It may happen that solution x=2 repeats more than once.

In that case if you skip division by x=2 then you may get in trouble.

So just to identify any repeated root, we must check that value again as a possible solution.