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

\frac{34}{85}

lo g_{8} (27)

\frac{7 x ^{2} - 49 x}{7} \cdot \frac{x - 9}{x ^{2} - 16 x + 63}

125 - 20 + 45

\frac{21}{7}

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