设2x^4+3x^3+kx^2+9x+3被x^2+3整除得(2x^2+ax+1)。 (2x^2+ax+1)*(x^2+3) =2x^4+6x^2+ax^3+3ax+x^2+3 =2x^4+ax^3+7x^2+3ax+3 =2x^4+3x^3+kx^2+9x+3 所以,a=3,k=7