What is longdivision ((x^3+3x^2+x-4))/((x-1)) ?

The solution to longdivision ((x^3+3x^2+x-4))/((x-1)) is x^2+4x+5+1/(x-1)

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Divide Using Long Polynomial Division (x^3+3x^2+x-4)÷(x-1)

long division

\frac{( x ^{3} + 3 x ^{2} + x - 4 )}{( x - 1 )}

x^{2} + 4 x + 5 + \frac{1}{x - 1}

Solution steps

\frac{( x ^{3} + 3 x ^{2} + x - 4 )}{( x - 1 )}

Divide

\frac{x ^{3} + 3 x ^{2} + x - 4}{x - 1} : \frac{x ^{3} + 3 x ^{2} + x - 4}{x - 1} = x^{2} + \frac{4 x ^{2} + x - 4}{x - 1}

= x^{2} + \frac{4 x ^{2} + x - 4}{x - 1}

Divide

\frac{4 x ^{2} + x - 4}{x - 1} : \frac{4 x ^{2} + x - 4}{x - 1} = 4 x + \frac{5 x - 4}{x - 1}

= x^{2} + 4 x + \frac{5 x - 4}{x - 1}

Divide

\frac{5 x - 4}{x - 1} : \frac{5 x - 4}{x - 1} = 5 + \frac{1}{x - 1}

= x^{2} + 4 x + 5 + \frac{1}{x - 1}

x^{2} - 6 x = - 5

19.6

\frac{7}{2}

1200/150

- 1 \frac{3}{5}

What is longdivision ((x^3+3x^2+x-4))/((x-1)) ?
The solution to longdivision ((x^3+3x^2+x-4))/((x-1)) is x^2+4x+5+1/(x-1)