因式分解:x^4+ 1994x^2+ 1993x+ 1994
问题描述:
因式分解:x^4+ 1994x^2+ 1993x+ 1994
答
x^4+1994x^2+1993x+1994
=x^4-x+1994(x^2+x+1)
=x(x-1)(x^2+x+1)+1994(x^2+x+1)
=(x^2-x+1994)(x^2+x+1)