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受欢迎的代数 >

longdivision ((x^3-3x^2+5x-2))/(x+5)

解答

长除法

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

解答

x^{2} - 8 x + 45 - \frac{227}{x + 5}

求解步骤

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

对

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

做除法:

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

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

对

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

做除法:

\frac{- 8 x ^{2} + 5 x - 2}{x + 5} = - 8 x + \frac{45 x - 2}{x + 5}

= x^{2} - 8 x + \frac{45 x - 2}{x + 5}

对

\frac{45 x - 2}{x + 5}

做除法:

\frac{45 x - 2}{x + 5} = 45 + \frac{- 227}{x + 5}

= x^{2} - 8 x + 45 + \frac{- 227}{x + 5}

化简

= x^{2} - 8 x + 45 - \frac{227}{x + 5}

流行的例子

longdivision (6x^3+3x^2-5)/(3x^2+1)

l o n g d i v i s i o n \frac{6 x ^{3} + 3 x ^{2} - 5}{3 x ^{2} + 1}

longdivision (x^2+4x-1)/(x+2)

l o n g d i v i s i o n \frac{x ^{2} + 4 x - 1}{x + 2}

longdivision ((243x^5-1))/((3x+1))

l o n g d i v i s i o n \frac{( 243 x ^{5} - 1 )}{( 3 x + 1 )}

longdivision ((x^2+1))/((x+1))

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

l o n g d i v i s i o n \frac{( 4 x ^{3} - 2 x ^{2} + 2 x - 1 )}{( 2 x + 1 )}