Respuesta :

(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are(x - 1), (x + 2) and (x + 3)
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Answer:

Step-by-step explanation:

The given equation is:

[tex]x^4+2x^3-7x^2-8x+12[/tex]

Now, (x-2) is a factor of the given equation, therefore

[tex](x-2)(x^3+4x^2+x-6)[/tex]

[tex](x-2)(x-1)(x^2+5x+6)[/tex]

[tex](x-2)(x-1)(x^2+3x+2x+6)[/tex]

[tex](x-2)(x-1)(x(x+3)+2(x+3))[/tex]

[tex](x-2)(x-1)(x+2)(x+3)[/tex]

Therefore, the other factors are (x-1), (x+2) and (x+3).