What is ((-15x^4-x^3+12x^2+13x+6))/((-3x-2)) ?

The solution to ((-15x^4-x^3+12x^2+13x+6))/((-3x-2)) is 5x^3-3x^2-2x-3

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simplify ((-15x^4-x^3+12x^2+13x+6))/((-3x-2))

simplify

\frac{( - 15 x ^{4} - x ^{3} + 12 x ^{2} + 13 x + 6 )}{( - 3 x - 2 )}

5 x^{3} - 3 x^{2} - 2 x - 3

Solution steps

\frac{- 15 x ^{4} - x ^{3} + 12 x ^{2} + 13 x + 6}{- 3 x - 2}

Factor

- 15 x^{4} - x^{3} + 12 x^{2} + 13 x + 6 : - (3 x + 2) (5 x^{3} - 3 x^{2} - 2 x - 3)

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

Cancel

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

= 5 x^{3} - 3 x^{2} - 2 x - 3

100 x^{36}

\frac{i ^{14} - i ^{16} + 3 i ^{18}}{i ^{18} + i ^{10}}

\frac{2 ^{n + 4} + 2 ^{n + 3}}{2 ^{n + 3} - 2 ^{n + 2}}

\frac{\frac{3 x - 9}{20}}{\frac{2 x - 6}{5}}

What is ((-15x^4-x^3+12x^2+13x+6))/((-3x-2)) ?
The solution to ((-15x^4-x^3+12x^2+13x+6))/((-3x-2)) is 5x^3-3x^2-2x-3