What is longdivision ((2x^4+x^3-19x^2+18x+5))/((2x-5)) ?

The solution to longdivision ((2x^4+x^3-19x^2+18x+5))/((2x-5)) is x^3+3x^2-2x+4+(25)/(2x-5)

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Divide Using Long Polynomial Division (2x^4+x^3-19x^2+18x+5)÷(2x-5)

long division

\frac{( 2 x ^{4} + x ^{3} - 19 x ^{2} + 18 x + 5 )}{( 2 x - 5 )}

x^{3} + 3 x^{2} - 2 x + 4 + \frac{25}{2 x - 5}

Solution steps

\frac{( 2 x ^{4} + x ^{3} - 19 x ^{2} + 18 x + 5 )}{( 2 x - 5 )}

Divide

\frac{2 x ^{4} + x ^{3} - 19 x ^{2} + 18 x + 5}{2 x - 5} : \frac{2 x ^{4} + x ^{3} - 19 x ^{2} + 18 x + 5}{2 x - 5} = x^{3} + \frac{6 x ^{3} - 19 x ^{2} + 18 x + 5}{2 x - 5}

= x^{3} + \frac{6 x ^{3} - 19 x ^{2} + 18 x + 5}{2 x - 5}

Divide

\frac{6 x ^{3} - 19 x ^{2} + 18 x + 5}{2 x - 5} : \frac{6 x ^{3} - 19 x ^{2} + 18 x + 5}{2 x - 5} = 3 x^{2} + \frac{- 4 x ^{2} + 18 x + 5}{2 x - 5}

= x^{3} + 3 x^{2} + \frac{- 4 x ^{2} + 18 x + 5}{2 x - 5}

Divide

\frac{- 4 x ^{2} + 18 x + 5}{2 x - 5} : \frac{- 4 x ^{2} + 18 x + 5}{2 x - 5} = - 2 x + \frac{8 x + 5}{2 x - 5}

= x^{3} + 3 x^{2} - 2 x + \frac{8 x + 5}{2 x - 5}

Divide

\frac{8 x + 5}{2 x - 5} : \frac{8 x + 5}{2 x - 5} = 4 + \frac{25}{2 x - 5}

= x^{3} + 3 x^{2} - 2 x + 4 + \frac{25}{2 x - 5}

8/8

x, \frac{5}{3} = \frac{x}{4}

x, 3 x - 7 = 0

5 x^{2} - 11 x + 2 = 0

x, x = \frac{( 5000 ( ( 1.06 ) ^{10} - 1 ) )}{0.06}

What is longdivision ((2x^4+x^3-19x^2+18x+5))/((2x-5)) ?
The solution to longdivision ((2x^4+x^3-19x^2+18x+5))/((2x-5)) is x^3+3x^2-2x+4+(25)/(2x-5)