[tex] \frac{ - {x}^{2} + 6x }{ {x}^{3} + 5 {x}^{2} - 7x - 2} = \frac{ - ( - 2 {)}^{2} + 6( - 2) }{( - 2 {)}^{3} + 5( - 2 {)}^{2} - 7( - 2) - 2 } = \frac{ - 4 - 12}{ - 8 + 20 + 14 - 2} = \frac{ - 16}{24} = - \frac{2}{3} [/tex]