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}

(- 11 - 6 i) + (5 - 8 i)

(- m^{2} n) (- 3 m^{2}) (- 5 m n^{3})

a (x - h)^{2} + k

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

\frac{1}{2} + \frac{5}{4}

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