Question

确定正整数k的值,使f（X）=X^4-X^3+KX^2-2KX-2能分解成整系数的因式.

Answer 1

=x^(x^2+k)-x(x^2+k)+kx-2=x(x^2+k)(x-1)+kx-2

令K=2

=(x-1)[x(x^2+2)+2]