Question

Разложите на множители многочлен m^4+2m^3-m-2

Answer 1

${m}^{4} + 2 {m}^{3} - m - 2 = {m}^{3} (m - 2) + (m - 2) = (m - 2)( {m}^{3} + 1)=(m+2)(m+1)({m}^{2}-m+1)$

Answer 2

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