Bentuk sederhana dari... Tolong ya, kakak² (SMA) yang baik hati ^^

Mapel : Matematika
Bab : Polinomial

[tex] \frac{2x ^{3} - x ^{2} - 7x + 6}{ x ^{4} + 2x ^{3} - x - 2 } [/tex]

[tex] = \frac{( 2x ^{2} + x - 6)(x - 1)}{x ^{4} + 2x ^{3} - x - 2} [/tex]

[tex] = \frac{(2x ^{2} + 4x - 3x - 6)(x - 1)}{x ^{4} + 2x ^{3} - x - 2 } [/tex]

[tex]difaktorkan[/tex]

[tex] = \frac{(2x(x + 2) - 3(x + 2))(x - 1)}{x ^{4} + 2x ^{3} - x - 2} [/tex]

[tex] = \frac{(x + 2)(2x - 3)(x - 1)}{x ^{4} + 2x ^{3} - x - 2 } [/tex]

[tex] = \frac{(x + 2)(2x - 3)(x - 1)}{x ^{3} (x + 2) - (x + 2)} [/tex]

[tex] = \frac{(x + 2)(2x - 3)(x - 1)}{(x + 2)(x ^{3} - 1) } [/tex]

[tex] = \frac{(x + 2)(2x - 3)(x - 1)}{(x + 2)(x ^{3} - 1 ^{3} ) } [/tex]

[tex] = \frac{(x + 2)(2x - 3)(x - 1)}{(x + 2)(x - 1)(x ^{2} + x + 1 ^{2}) } [/tex]
Coret

[tex] = \frac{2x - 3}{x ^{2} + x - 1} [/tex]
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