What is ((2x^4-3x^3-20x-21))/((x-3)) ?

The solution to ((2x^4-3x^3-20x-21))/((x-3)) is 2x^3+3x^2+9x+7

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simplify ((2x^4-3x^3-20x-21))/((x-3))

simplify

\frac{( 2 x ^{4} - 3 x ^{3} - 20 x - 21 )}{( x - 3 )}

2 x^{3} + 3 x^{2} + 9 x + 7

Solution steps

\frac{2 x ^{4} - 3 x ^{3} - 20 x - 21}{x - 3}

Factor

2 x^{4} - 3 x^{3} - 20 x - 21 : (x - 3) (2 x^{3} + 3 x^{2} + 9 x + 7)

= \frac{( x - 3 ) ( 2 x ^{3} + 3 x ^{2} + 9 x + 7 )}{x - 3}

Cancel the common factor:

x - 3

= 2 x^{3} + 3 x^{2} + 9 x + 7

(\frac{2 m}{2 ^{- 3}})^{2}

- 25 x^{2} y^{4} - 121

(x^{3} - 3 x^{2} + 8 x + 7) + (- 5 x^{3} - 12 x + 3)

(y - 2 x)^{2}

- 2 x (3 + 2 x) - (5 x + 2)^{2}

What is ((2x^4-3x^3-20x-21))/((x-3)) ?
The solution to ((2x^4-3x^3-20x-21))/((x-3)) is 2x^3+3x^2+9x+7