( x + 2 ) ( x + 4 ) ( x + 6 ) ( x + 8 ) + 2014 = ( x + 2 )( x + 8 )( x + 4 ) ( x + 6 ) + 2014=(x^2+10x+16)(x^2+10x+24)+2014=((x^2+10x+21)-5).((x^2+10x+21)+3)+2014=(x^2+10+21)^2-5(x^2+10x+21)+3(x^2+10x+21)-15+2014==(x^2+10+21)^2-2(x^2+10x+21)+1999
Vạy số dư phép chia đó là 1999 !