If 1, 3, 4, 0 are the roots of ax4+bx3+cx2+dx+e=0 then the roots of a(x+3)4+b(x+ 3)3+c(x+3)2+d(x+3)+e=0 are

fx=ax4+bx3+cx2+dx+e=0  roots are 1,3,4,0  then fx+3=a(x+3)4+b(x+ 3)3+c(x+3)2+d(x+3)+e=0 roots are decreased by ‘3’. therefore roots of the fx+3=0  are : –2,0,1, − 3