4m^4+m^3-32m-8

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4m^4+m^3-32m-84m^4+m^3-32m-84m^4+m^3-32m-84m^4+m^3-32m-8=m^3(4m+1)-8(4m+1)=(4m+1)(m^3-8)=(4m+1)(m-2)

4m^4+m^3-32m-8
4m^4+m^3-32m-8

4m^4+m^3-32m-8
4m^4+m^3-32m-8
=m^3(4m+1)-8(4m+1)
=(4m+1)(m^3-8)
=(4m+1)(m-2)(m^2+2m+4)

4m^4+m^3-32m-8
=(4m^4-32m)+(m^3-8)
=4m(m^3-8)+(m^3-8)
=(4m+1)(m^3-8)
=(4m+1)(m-2)(m^2+2m+4)

=m³(m+4)-8(m+4)
=(m³-8)(m+4)
=(m-2)(m²+2m+4)(m+4)

或者也可以用试根法，
http://baike.baidu.com/view/3493192.html?wtp=tt

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