Let f(x)=x4−x3+2x2−3x−3
Show that f(x) is reducible over Q
Rational zeros shows there is no roots i tried writing (x2+bx+c)(x2+dx+e) and then tried to solve the equations for each of letters but it got crazy ugly which lead me to the conclusion there must be a better way...
Answer
i think that is a good idea, it is (x2+3)(x2−x−1)=f(x)
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