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find partial fraction decomposition of 3X^2 -31X -25 divided by (x+1)(x^2-7x-8)

Sagot :

[tex] \frac{3x^{2} - 31x - 25}{(x + 1)(x^{2} - 7x - 8)}[/tex]

[tex] \frac{3x^{2} - 31x - 25}{x^{3} - 7x^{2} - 8x + x^{2} - 7x - 8} [/tex]

[tex] \frac{3x^{2} - 31x - 25}{x^{3} - 7x^{2} + x^{2} - 8x - 7x - 8} [/tex]

[tex] \frac{3x^{2} - 31x - 25}{x^{3} - 6x^{2} - 15x - 8} [/tex]