What is ((x^4-5x^3-10x^2+15x))/((-5x)) ?

The solution to ((x^4-5x^3-10x^2+15x))/((-5x)) is -(x^3-5x^2-10x+15)/5

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simplify ((x^4-5x^3-10x^2+15x))/((-5x))

simplify

\frac{( x ^{4} - 5 x ^{3} - 10 x ^{2} + 15 x )}{( - 5 x )}

- \frac{x ^{3} - 5 x ^{2} - 10 x + 15}{5}

Solution steps

\frac{x ^{4} - 5 x ^{3} - 10 x ^{2} + 15 x}{- 5 x}

Factor

x^{4} - 5 x^{3} - 10 x^{2} + 15 x : x (x^{3} - 5 x^{2} - 10 x + 15)

= \frac{x ( x ^{3} - 5 x ^{2} - 10 x + 15 )}{- 5 x}

Cancel the common factor:

x

= \frac{x ^{3} - 5 x ^{2} - 10 x + 15}{- 5}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{x ^{3} - 5 x ^{2} - 10 x + 15}{5}

\frac{x}{2} \cdot x

- 41

(- 2 x^{2} + 9 x - 2) - (- 7 x + 6)

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

2 x + 2 x

What is ((x^4-5x^3-10x^2+15x))/((-5x)) ?
The solution to ((x^4-5x^3-10x^2+15x))/((-5x)) is -(x^3-5x^2-10x+15)/5