What is longdivision ((5x^3-14-20x+x^4))/((x^2-x-3)) ?

The solution to longdivision ((5x^3-14-20x+x^4))/((x^2-x-3)) is x^2+6x+9+(7x+13)/(x^2-x-3)

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Divide Using Long Polynomial Division (5x^3-14-20x+x^4)÷(x^2-x-3)

long division

\frac{( 5 x ^{3} - 14 - 20 x + x ^{4} )}{( x ^{2} - x - 3 )}

x^{2} + 6 x + 9 + \frac{7 x + 13}{x ^{2} - x - 3}

Solution steps

\frac{( 5 x ^{3} - 14 - 20 x + x ^{4} )}{( x ^{2} - x - 3 )}

Divide

\frac{x ^{4} + 5 x ^{3} - 20 x - 14}{x ^{2} - x - 3} : \frac{x ^{4} + 5 x ^{3} - 20 x - 14}{x ^{2} - x - 3} = x^{2} + \frac{6 x ^{3} + 3 x ^{2} - 20 x - 14}{x ^{2} - x - 3}

= x^{2} + \frac{6 x ^{3} + 3 x ^{2} - 20 x - 14}{x ^{2} - x - 3}

Divide

\frac{6 x ^{3} + 3 x ^{2} - 20 x - 14}{x ^{2} - x - 3} : \frac{6 x ^{3} + 3 x ^{2} - 20 x - 14}{x ^{2} - x - 3} = 6 x + \frac{9 x ^{2} - 2 x - 14}{x ^{2} - x - 3}

= x^{2} + 6 x + \frac{9 x ^{2} - 2 x - 14}{x ^{2} - x - 3}

Divide

\frac{9 x ^{2} - 2 x - 14}{x ^{2} - x - 3} : \frac{9 x ^{2} - 2 x - 14}{x ^{2} - x - 3} = 9 + \frac{7 x + 13}{x ^{2} - x - 3}

= x^{2} + 6 x + 9 + \frac{7 x + 13}{x ^{2} - x - 3}

\frac{144}{49}

x, 2 x^{2} - 5 x = 12

x, 6 < x + 5 \leq 11

b, 5 b = 27 + 8 (b - 3)

f, G f = h

What is longdivision ((5x^3-14-20x+x^4))/((x^2-x-3)) ?
The solution to longdivision ((5x^3-14-20x+x^4))/((x^2-x-3)) is x^2+6x+9+(7x+13)/(x^2-x-3)