Question

Se da fractia F(x) = $\frac{ x^{4}-6 x^{2} +9 }{ x^{4}-5 x^{2} +6 }$
a) simplificati F(x)
b) determinati numerele intregi x pentru care F(x) ∈ Z

Answer 1

[tex] a) \frac{ x^{4}-6 x^{2} +9 }{ x^{4}-5 x^{2} +6 } = \frac{ (x^{2} -3)^2}{( x^{2}-2)( x^{2} -3) } = \frac{ x^{2} -3}{ x^{2} -2} [/tex]