19. If p(x) and g(x) are any two
polynomials with g(x) = 0, then we can
find polynomials q(x) and r(x).Then which
i

1 thought on “19. If p(x) and g(x) are any two<br />polynomials with g(x) = 0, then we can<br />find polynomials q(x) and r(x).Then which<br />i”

1. Answer:

   Let p(x) and g(x) be two polynomials

   If g(x) is any polynomial then it can divide p(x) by q(x) where 0<q(x) and may get a remainder say r(x).

   If g(x) perfectly divides p(x) by q(x), then r(x)=0.

   It is obvious that deg r(x)<deg g(x).

   ∴ we can find polynomial q(x) and r(x) such that

   p(x)=q(x)q(x)+r(x), where r(x)=0 or deg r(x)<deg g(x

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