Question

提公因式的题x^15+m^12+m^9+m^6+m^3+1

Answer 1

m^15+m^12+m^9+m^6+m^3+1

=m^12(m^3+1)+m^6(m^3+1)+(m^3+1)

=(m^3+1)(m^12+m^6+1)

=(m+1)(m^2-m+1)[(m^12+2m^6+1)-m^6]

==(m+1)(m^2-m+1)(m^6+m^3+1)(m^6-m^3+1)