Respuesta :

Answer:

option-A

[tex]\frac{x^4+3x^3-2x^2+4}{x-2}=x^3+5x^2+8x+16+\frac{36}{x-2}[/tex]

Step-by-step explanation:

we are given

divisor is

[tex]=x^4+3x^3-2x^2+4[/tex]

Dividend is

=x-2

so, we can use synthetic division

so, we can write our expression as

[tex]\frac{x^4+3x^3-2x^2+4}{x-2}=x^3+5x^2+8x+16+\frac{36}{x-2}[/tex]

so,

option-A

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