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

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

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simplify (-3x^5-x^4-x^3+4x^2)/(x^2)

simplify

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

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

Solution steps

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

Factor out

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

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

Factor

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}}

Cancel the common factor:

x^{2}

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

Simplify

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

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

\int x (x^{3} - \frac{1}{x}) d x

x = 1, x = 6 - y^{2}

\int_{a}^{b} 5 x^{3} d x

\frac{\partial}{\partial x} (x x)

500 (1 + \frac{2 t}{40 + t ^{2}})

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