Question

已知m的平方+m-1=0,求整式m的立方+2m的平方+2003的值

Answer 1

m^2+m-1=0

m^2=1-m

m^3+2m^2+2003

=m(1-m)+2m^2+2003

=m-m^2+2m^2+2003

=m^2+m-1+2004

=0+2004

=2004