由题,设X^4+4X^2+3X+K＝(X^2+X+1)(X^2+aX+b)因为,(X^2+X+1)(X^2+aX+b) ＝X^4+(a+1)X^3+(a+b+1)X^2+(a+b)X+b根据系数对应相等所以,a+1=0a+b+1=4a+b=3K=b解得,a＝-1,b＝4,k＝4所...