m"'-4m"+m+6
分组分解
=m"'+2m"+m-6m"+6
=m(m"+2m+1)-6(m"-1)
=m(m+1)"-6(m-1)(m+1)
提公因式,继续
=(m+1)(m"+m-6m+6)
=(m+1)(m"-5m+6)
=(m+1)(m-2)(m-3)
或者
=m"'-3m"-m"+m+6
=m"(m-3)-(m"-m-6)
=m"(m-3)-(m"-3m+2m-6)
=m"(m-3)-m(m-3)-2(m-3)
=(m-3)(m"-m-2)
=(m-3)(m-2)(m+1)
还有
=m'"-4m"+4m-3m+6
=m(m"-4m+4)-3(m-2)
=m(m-2)"-3(m-2)
=(m-2)(m"-2m-3)
=(m-2)(m-3)(m+1)
分组分解的方式绝对不只一个,
关键就看你自己熟悉怎么样,
用一个方式做完,再用其他的检查一下.