Question

用m²-m+1去除某一个整式,得商式m²+m+1,余式m+2,求这个整式

Answer 1

(m²+m+1)(m²-m+1)+m+2

=(m²+1)²-m²+m+2

=m⁴+2m²+1-m²+m+2

=m⁴+m²+m+3