What is (20x^7-3x^6+12x^5-24x^4)/(-4x^4) ?

The solution to (20x^7-3x^6+12x^5-24x^4)/(-4x^4) is -(20x^3-3x^2+12x-24)/4

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simplify (20x^7-3x^6+12x^5-24x^4)/(-4x^4)

simplify

\frac{20 x ^{7} - 3 x ^{6} + 12 x ^{5} - 24 x ^{4}}{- 4 x ^{4}}

- \frac{20 x ^{3} - 3 x ^{2} + 12 x - 24}{4}

Solution steps

\frac{20 x ^{7} - 3 x ^{6} + 12 x ^{5} - 24 x ^{4}}{- 4 x ^{4}}

Factor

20 x^{7} - 3 x^{6} + 12 x^{5} - 24 x^{4} : x^{4} (20 x^{3} - 3 x^{2} + 12 x - 24)

= \frac{x ^{4} ( 20 x ^{3} - 3 x ^{2} + 12 x - 24 )}{- 4 x ^{4}}

Cancel the common factor:

x^{4}

= \frac{20 x ^{3} - 3 x ^{2} + 12 x - 24}{- 4}

Apply the fraction rule:

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

= - \frac{20 x ^{3} - 3 x ^{2} + 12 x - 24}{4}

27 a^{3} - 64

x^{2} - 2.3 x^{2} - 2 x^{2} + 4 x - 2

- 9 x^{23} x + 2

\frac{( x ^{2} - y ^{- 2} )}{( x ^{- 1} - y ^{- 1} )}

2^{n (a) \cdot n (b)}

What is (20x^7-3x^6+12x^5-24x^4)/(-4x^4) ?
The solution to (20x^7-3x^6+12x^5-24x^4)/(-4x^4) is -(20x^3-3x^2+12x-24)/4