What is ((-4x^5+x^4+6x^3+2x^2+56))/((x-2)) ?

The solution to ((-4x^5+x^4+6x^3+2x^2+56))/((x-2)) is -4x^4-7x^3-8x^2-14x-28

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simplify ((-4x^5+x^4+6x^3+2x^2+56))/((x-2))

simplify

\frac{( - 4 x ^{5} + x ^{4} + 6 x ^{3} + 2 x ^{2} + 56 )}{( x - 2 )}

- 4 x^{4} - 7 x^{3} - 8 x^{2} - 14 x - 28

Solution steps

\frac{- 4 x ^{5} + x ^{4} + 6 x ^{3} + 2 x ^{2} + 56}{x - 2}

Factor out

- 1 : - (4 x^{5} - x^{4} - 6 x^{3} - 2 x^{2} - 56)

= \frac{- ( 4 x ^{5} - x ^{4} - 6 x ^{3} - 2 x ^{2} - 56 )}{x - 2}

Factor

4 x^{5} - x^{4} - 6 x^{3} - 2 x^{2} - 56 : (x - 2) (4 x^{4} + 7 x^{3} + 8 x^{2} + 14 x + 28)

= \frac{- ( x - 2 ) ( 4 x ^{4} + 7 x ^{3} + 8 x ^{2} + 14 x + 28 )}{x - 2}

Cancel the common factor:

x - 2

= - (4 x^{4} + 7 x^{3} + 8 x^{2} + 14 x + 28)

Simplify

- (4 x^{4} + 7 x^{3} + 8 x^{2} + 14 x + 28) : - 4 x^{4} - 7 x^{3} - 8 x^{2} - 14 x - 28

= - 4 x^{4} - 7 x^{3} - 8 x^{2} - 14 x - 28

lo g_{10} (x) - 3 lo g_{10} (2 x) + 2 lo g_{10} (4 x)

582 x^{2} - 9 x^{2}

5 c^{1} + 5 c^{3}

\frac{\frac{2}{2}}{x}

2 x^{3} x + 5

What is ((-4x^5+x^4+6x^3+2x^2+56))/((x-2)) ?
The solution to ((-4x^5+x^4+6x^3+2x^2+56))/((x-2)) is -4x^4-7x^3-8x^2-14x-28