3х^5+х^4-15х^3-5х^2+12х+4=0, х=-1/3

Question

3х^5+х^4-15х^3-5х^2+12х+4=0, х=-1/3

Answer 1

3х5+х4-15х3-5х2+12х+4=0
3x5-15x3+12x+x4-5x2+4=0
3x(x4-5x2+4)+x4-5x2+4=0
(3x+1)(x4-5x2+4)=0
при x=-1/3
выражение=0