19. If p(x) and g(x) are any twopolynomials with g(x) = 0, then we canfind polynomials q(x) and r(x).Then whichis the division algorithm formula * About the author Emery

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 Reply

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