Polynomial long division Calculator

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Difficult Problems

1

Example

$\frac{x^5+\left(2\cdot \sqrt{3}+2\right) x^3+2\cdot \sqrt{2}+7}{x-\sqrt{2}+1}$
2

Subtract the values $1$ and $-\sqrt{2}$

$\frac{7+\sqrt{2}\cdot 2+\left(2+\sqrt{2}\cdot 2\right)x^3+x^5}{x-\frac{\sqrt[3]{2}}{3}}$
3

Multiply $2$ times $\sqrt{2}$

$\frac{7+\sqrt{8}+\left(2+\sqrt{11}\right)x^3+x^5}{x-\frac{\sqrt[3]{2}}{3}}$
4

Add the values $\sqrt{11}$ and $2$

$\frac{5.4641x^3+x^5+9.8284}{x-\frac{\sqrt[3]{2}}{3}}$
5

Divide $5.4641x^3+x^5+9.8284$ by $x-\frac{\sqrt[3]{2}}{3}$

$\left|\begin{matrix}x^{5} & & & & & 9.8284 \\ -x^{5} & \frac{\sqrt[3]{2}}{3}x^{4} & & & & \\ & \frac{\sqrt[3]{2}}{3}x^{4} & & & & 9.8284 \\ & -\frac{\sqrt[3]{2}}{3}x^{4} & \frac{35}{204}x^{3} & & & \\ & & \frac{35}{204}x^{3} & & & 9.8284 \\ & & -\frac{35}{204}x^{3} & \frac{14}{197}x^{2} & & \\ & & & \frac{14}{197}x^{2} & & 9.8284 \\ & & & -\frac{14}{197}x^{2} & \frac{33}{1121}x & \\ & & & & \frac{33}{1121}x & 9.8284 \\ & & & & -\frac{33}{1121}x & \frac{1}{82} \\ & & & & & 9.8406\end{matrix}\right|\begin{matrix}x-\frac{\sqrt[3]{2}}{3} \\ x^{4}+\frac{\sqrt[3]{2}}{3}x^{3}+\frac{35}{204}x^{2}+\frac{14}{197}x+\frac{33}{1121} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \end{matrix}$
6

Resulting polynomial

$x^{4}+\frac{\sqrt[3]{2}}{3}x^{3}+\frac{35}{204}x^{2}+\frac{14}{197}x+\frac{33}{1121}+\frac{9.8406}{x-\frac{\sqrt[3]{2}}{3}}$