Question

设多项式f(x)除以多项式g(x)得商式q(x),余式r(x)

Answer 1

f(x)/g(x) = q(x) + r(x)/g(x)

f(x)/[2g(x)] = q(x)/2 + r(x)/[2g(x)]

4f(x)/[2g(x)] = 4q(x)/2 + 4r(x)/[2g(x)]

4f(x)/[2g(x)] = 2q(x) + 4r(x)/[2g(x)]

F(x) = 4f(x),G(x) = 2g(x),Q(x) = 2q(x),R(x) = 4r(x)

即：商式2q(x),余式4r(x)