Does it follow that r(x)+p(x) is a rational function (and

Romana Newton

Romana Newton

Answered question

2022-02-16

Does it follow that r(x)+p(x) is a rational function (and not a polynomial)?
Suppose r(x)0 is a rational function (and not a polynomial)
p(x) is a polynomial function of xR.

Answer & Explanation

Alexandra Haynes

Alexandra Haynes

Beginner2022-02-17Added 10 answers

Yes. Suppose that r(x)+p(x)=s(x) were a polynomial. Then also r(x)=s(x)=p(x) would be a polynomial, hence r(x) is a polynomial, contradiction.

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