What is ((30-20x+11x^2+19x^3+4x^4))/((x+3)) ?

The solution to ((30-20x+11x^2+19x^3+4x^4))/((x+3)) is 4x^3+7x^2-10x+10

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simplify ((30-20x+11x^2+19x^3+4x^4))/((x+3))

simplify

\frac{( 30 - 20 x + 11 x ^{2} + 19 x ^{3} + 4 x ^{4} )}{( x + 3 )}

4 x^{3} + 7 x^{2} - 10 x + 10

Solution steps

\frac{30 - 20 x + 11 x ^{2} + 19 x ^{3} + 4 x ^{4}}{x + 3}

Factor

30 - 20 x + 11 x^{2} + 19 x^{3} + 4 x^{4} : (x + 3) (4 x^{3} + 7 x^{2} - 10 x + 10)

= \frac{( x + 3 ) ( 4 x ^{3} + 7 x ^{2} - 10 x + 10 )}{x + 3}

Cancel the common factor:

x + 3

= 4 x^{3} + 7 x^{2} - 10 x + 10

(a + b)^{3} - 8 b^{3}

(1 - sin (x))^{4}

3 x - 15 x + 5

(4 x^{2} - 6)^{4}

[\frac{1}{( x - 1 ) ^{- 1}} - \frac{\frac{1}{1}}{( x - 2 ) ^{- 2}}]^{2}

What is ((30-20x+11x^2+19x^3+4x^4))/((x+3)) ?
The solution to ((30-20x+11x^2+19x^3+4x^4))/((x+3)) is 4x^3+7x^2-10x+10