Автор - dashagvozdareva

Разложи на множители x3+4x2−5x−20

Ответ

Автор - Vopoxov

Ответ:

(x -  sqrt{5} )(x +  sqrt{5} )(x + 4)

Объяснение:

x^3 + 4x^2 - 5x - 20 =  \  = x^3 + 4x^2 - (5x  + 20 )=\  =x times  x^2  +4 times  x^2 - 5(x  + 4 )=\  = x^2(x + 4)  - 5(x  + 4 )= \  = (x^2 - 5)(x + 4)   =  \ =(x -  sqrt{5} )(x +  sqrt{5} )(x + 4)

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