factorizar 3x^2-2x^2+27x-18

Solución

factorizar

3 x^{2} - 2 x^{2} + 27 x - 18

(x - \frac{3 ( 89 - 9 )}{2}) (x + \frac{3 ( 89 + 9 )}{2})

Pasos de solución

3 x^{2} - 2 x^{2} + 27 x - 18

Sumar elementos similares:

3 x^{2} - 2 x^{2} = x^{2}

= x^{2} + 27 x - 18

Resolver

x^{2} + 27 x - 18 = 0 : x = \frac{- 27 + 3 89}{2}, x = \frac{- 27 - 3 89}{2}

Por lo tanto, el polinomio se puede factorizar de la siguiente manera

= (x - (\frac{- 27 + 3 89}{2})) (x - (\frac{- 27 - 3 89}{2}))

Simplificar

= (x - \frac{3 89 - 27}{2}) (x - \frac{- 27 - 3 89}{2})

Factorizar

- 27 + 389 : 3 (89 - 9)

= (x - \frac{3 ( 89 - 9 )}{2}) (x - \frac{- 27 - 3 89}{2})

Factorizar

- 27 - 389 : - 3 (89 + 9)

= (x - \frac{3 ( 89 - 9 )}{2}) (x - \frac{- 3 ( 9 + 89 )}{2})

Aplicar las propiedades de las fracciones:

\frac{- a}{b} = - \frac{a}{b}

= (x - \frac{3 ( 89 - 9 )}{2}) (x - (- \frac{3 ( 9 + 89 )}{2}))

Aplicar la regla

- (- a) = a

= (x - \frac{3 ( 89 - 9 )}{2}) (x + \frac{3 ( 89 + 9 )}{2})

(x - 2)^{2} + 6

a^{3} - 2 (a)^{2} + 20

FE (C L O^{3}) 2 + H^{2} O

f (x) - 0.5 x + 4

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