Respuesta :

Solution:

Given;

[tex]\frac{2x^3+9x^2-8x+4}{x-2}[/tex]

Using Synthetic division;

Thus, the solution is;

[tex]\frac{2x^{3}+9x^{2}-8x+4}{x-2}=2x^2+13x+18+\frac{40}{x-2}[/tex]

The quotient is;

[tex]2x^2+13x+18[/tex]

The remainder is;

[tex]18[/tex]

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