问题 填空题

分解因式:x4-5x2+4x=______.

答案

x4-5x2+4x

=x(x3-x-4x+4)

=x[x(x2-1)-4(x-1)]

=x[x(x-1)(x+1)-4(x-1)]

=x(x-1)(x2+x-4)

=x(x-1)(x-

-1+
17
2
)(x-
-1-
17
2
).

故答案为:x(x-1)(x-

-1+
17
2
)(x-
-1-
17
2
).

单项选择题
单项选择题