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

The solution to (3x^3+4x^2-3x+2)/(x+2) is 3x^2-2x+1

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simplify (3x^3+4x^2-3x+2)/(x+2)

simplify

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

3 x^{2} - 2 x + 1

Solution steps

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

Factor

3 x^{3} + 4 x^{2} - 3 x + 2 : (x + 2) (3 x^{2} - 2 x + 1)

= \frac{( x + 2 ) ( 3 x ^{2} - 2 x + 1 )}{x + 2}

Cancel the common factor:

x + 2

= 3 x^{2} - 2 x + 1

9 a^{4} - a^{2} + 16

(2 a^{- 4} b^{6})^{- 5}

(6 x^{4} \cdot y^{- 1})^{0}

\frac{( \frac{2}{7} \cdot a ^{4} \cdot x ^{3} )}{( \frac{4}{7} \cdot a \cdot x ^{2} )}

32 x^{4} - 162 y^{4}

What is (3x^3+4x^2-3x+2)/(x+2) ?
The solution to (3x^3+4x^2-3x+2)/(x+2) is 3x^2-2x+1