Find the quotient and remainder using long division.x4 − 5x3 + x − 4 / x2 − 7x + 1

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Cinny asked Sep 11, 2023

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45 votes

Find the quotient and remainder using long division.x4 − 5x3 + x − 4 / x2 − 7x + 1

Mathematics
college

Cinny asked Sep 11, 2023

by Cinny

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1 Answer

30 votes

Given:

Required:

To find the quotient and remainder using long division.

Step-by-step explanation:

Now

$\begin{gathered} x^^2+2x+13 \\ ----------- \\ x^2-7x+1)x^4-5x^3+x-4 \\ \text{ }-x^4+7x^3-x^2 \\ --------------- \\ \text{ }+2x^3-x^2+x \\ \text{ }-2x^3+14x^2-2x \\ ---------------- \\ \text{ }+13x^2-x-4 \\ \text{ }-13x^2+91x-13 \\ ----------------- \\ \text{ }90x-17 \end{gathered}$

Final Answer:

The quotient is