簡約 (-3x^5-x^4-x^3+4x^2)/(x^2)

解

簡約

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

- 3 x^{3} - x^{2} - x + 4

解答ステップ

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

くくり出す

- 1 : - (3 x^{5} + x^{4} + x^{3} - 4 x^{2})

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

因数

3 x^{5} + x^{4} + x^{3} - 4 x^{2} : x^{2} (3 x^{3} + x^{2} + x - 4)

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

共通因数を約分する:

x^{2}

= - (3 x^{3} + x^{2} + x - 4)

簡素化

- (3 x^{3} + x^{2} + x - 4) : - 3 x^{3} - x^{2} - x + 4

= - 3 x^{3} - x^{2} - x + 4