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Answer:
The quotient is [tex]x^2 + x - 2[/tex]. Option 1 is the correct answer.
Step-by-step explanation:
[tex]x^3 - 2x^2 - 5x + 6[/tex]
[tex]=x^3 - 3x^2 + x^2 - 3x - 2x + 6[/tex]
[tex]=x^2(x - 3) + x(x - 3) - 2(x - 3)[/tex]
[tex]=(x - 3)(x^2 + x - 2)[/tex]
∴ [tex]\frac{x^3 - 2x^2 - 5x + 6}{x - 3} = x^2 + x - 2[/tex]
Answer:
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