Respuesta :

maangu06
The final answer to your question would be 2x^2+x-3. 
HOPE I HELPED! :)

Answer: The quotient is,

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

Step-by-step explanation:

Here, the given expression,

[tex](2x^4 - 3x^3 - 3x^2 + 7x - 3)\div (x^2 - 2x + 1)[/tex]

By the long division( shown below ) we found that,

[tex]2x^4 - 3x^3 - 3x^2 + 7x - 3=(x^2-2x+1)(2x^2+x-3)+0[/tex]

Since, Dividend = Divisor × Quotient + Remainder,

Hence, the quotient = [tex]2x^2+x-3[/tex]

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