Equivalent expression to represent the given division in quotient , remainder and divisor form is equals to [tex](x+2)+\frac{-5x+4}{x^{2} -2x+1}[/tex].
What is division?
" Division is defined as the distribution of the given quantity into equal parts as per the conditions apply."
According to the question,
Given expression,
[tex](x^{3} -8x+6)[/tex] ÷ [tex](x^{2} -2x +1)[/tex]
As shown in long division we get,
Quotient [tex]q(x) = x+2[/tex]
Remainder [tex]r(x) = -5x+4[/tex]
Divisor [tex]b(x) = x^{2} -2x +1[/tex]
Represent quotient , remainder and divisor in an equivalent form of given expression we get,
[tex](x^{3} -8x+6)[/tex] ÷ [tex](x^{2} -2x +1)[/tex] = [tex](x+2)+\frac{-5x+4}{x^{2} -2x+1}[/tex]
Hence, equivalent expression to represent the given division in quotient , remainder and divisor form is equals to [tex](x+2)+\frac{-5x+4}{x^{2} -2x+1}[/tex].
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