If a polynomial p(x) is divisible by (x-2) and 4 is a zero of p(x), write a factor of p(x) of degree 2.

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03-07-2018
Mathematics

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If a polynomial p(x) is divisible by (x-2) and 4 is a zero of p(x), write a factor of p(x) of degree 2.

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sqdancefan sqdancefan · Answer 1 · 2018-07-03T19:10:38+02:00

sqdancefan sqdancefan

03-07-2018

If p(x) is divisible by (x-2), then (x-2) is a factor. If 4 is a zero of p(x), then (x-4) is a factor. The product of these two different factors is also a factor of p(x). The degree 2 factor you want is ...
(x-2)(x-4) = x² -6x +8

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